Curriculum Vitæ
of
Luís Filipe Pinheiro de Castro
Overview
Luis Castro received the (ve years) Diploma (Licenciatura) Degree from the University of Aveiro, Portugal, in 1991, the M.Sc. and Ph.D. degrees in Applied Mathematics and Mathematics from IST, Technical
University of Lisbon, in 1994 and 1998, respectively. In 2004, he received the Habilitation (Agregação)
Degree from University of Aveiro.
From 1998 to 2000 he was in the Directive Council of Department of Mathematics of University of Aveiro;
from 2000 to 2002 he was Vice-President of the Directive Board of the Centre Delegation of the Portuguese
Mathematical Society; from 2001 to 2003 he was President of the Scientic-Pedagogic Council of Department
of Mathematics of University of Aveiro; from 2001 to 2003 he was Coordinator of the Scientic Committee
of Department of Mathematics of University of Aveiro; from January 2006 to December 2009, he was the
Scientic Coordinator of the Research Unit Mathematics and Applications, which had 55 Ph.D. members
and 82 elements in total.
He is currently the Scientic Coordinator/Director of CIDMA - Center for Research and Development in
Mathematics and Applications which is one of the largest research centers of Mathematics in Portugal
(recognized by the Portuguese Foundation for Science and Technology) and has 91 Ph.D. Members, 33
Ph.D. Students and 24 Collaborators, in a total of 148 elements; see http://cidma.mat.ua.pt/ .
He has more than 15 years of teaching experience in Mathematics at B.Sc., M.Sc. and Ph.D. levels (being
always in the group of Professors of Aveiro University Maths Department with better evaluation from the
students in the University ocial evaluation system).
His current research interests include several topics in the areas of Functional Analysis, Integral and Differential Equations, Operator Theory and Mathematical-Physics. In the last ten years he contributed with
several publications concerning operator relations between dierent types of operator classes, Fredholm theory of classes of singular integral and pseudo-dierential operators, factorization theory of matrix-valued
functions and operators (including Wiener-Hopf factorization and associated Riemann-Hilbert problems),
wave diraction problems and electromagnetic theory from a mathematical viewpoint, analysis of boundary
value problems in dierent domains within Sobolev type spaces, solvability of integral equations of dierent types, qualitative theory of dierential equations, approximate solutions for dierential and integral
equations, Tikhonov regularization, and theory of reproducing kernel Hilbert spaces and its applications.
He has contributed with over 100 peer-reviewed published papers, and gave more than 100 talks at research
seminars and international conferences or workshops. He supervised 5 M.Sc. students, 5 Ph.D. students and
served as adviser for 5 post-docs. His current h-index is 11, the i10-index is 17 and his research papers
received 596 citations until now (of which 332 were in the last ve years) data taken from Google Scholar.
Since 2009 he has been Full Professor of Mathematics at University of Aveiro, Portugal.
July, 2014.
1
Address
Institutional Address:
Departamento de Matemática, Universidade de Aveiro,
3810-193 Aveiro
Portugal
Phone: +351 964377335
Fax: +351 234370066
E-mail: [email protected]
URL: http://sweet.ua.pt/castro/
Personal Data
Birth year: 1968
Nationality: Portuguese
Education / Academic University Degrees
[26.11.04]
Habilitation (Agregação) in Mathematics at the University of Aveiro, Portugal.
[10.10.9508.07.98]
Ph.D. in Mathematics (in the areas of Operator Theory and Functional Analysis), at
the Department of Mathematics of Instituto Superior Técnico, Technical University
of Lisbon, Portugal.
Supervisor: Professor Frank-Olme Speck.
[01.10.9225.07.94]
M.Sc. in Applied Mathematics (in the area of Functional Analysis), at the Department of Mathematics of Instituto Superior Técnico, Technical University of Lisbon,
Portugal.
Supervisor: Professor Frank-Olme Speck.
[01.10.8609.07.91]
B.Sc. in Mathematics at the University of Aveiro, Portugal.
2
Previous and Current Professional Activities
Professional Positions:
[24.06.09present]
Full Professor (with tenure),
[26.11.0423.06.09]
Associate Professor with Habilitation,
[14.11.0225.11.04]
Associate Professor,
in the Department of Mathematics of University of Aveiro,
[08.07.9813.11.02]
Auxiliary Professor,
in the Department of Mathematics of University of Aveiro,
[28.11.9407.07.98]
Teaching Assistant,
in the Department of Mathematics of University of Aveiro,
[01.10.9427.11.94]
Collaborator in the Department of Mathematics of University of Aveiro, Portugal
[01.10.9230.09.94]
Bolseiro of the Junta Nacional de Investigação Cientíca and Tecnológica, within
[01.10.9130.09.92]
Junior Teaching Assistant,
[90/91]
Docent in the Hight School no 1 of Aveiro, Portugal.
Aveiro, Portugal.
in the Department of Mathematics of University of
University of Aveiro, Portugal.
Portugal.
Portugal.
Portugal.
in the Department of Mathematics of
(with teaching duties).
the Science Programme, Portugal.
Aveiro, Portugal.
in the Department of Mathematics of University of
Examples of Management and Scientific Coordination Activities (in Mathematical Institutions):
[01.03.11present]
Member of the Consulting Commission for Research, Department of Math-
[07.07.10present]
Member of the Department of Mathematics Council, University of Aveiro.
[01.01.10present]
Scientic Coordinator/Director of the research center
[01.01.0631.12.2009]
Scientic Coordinator of the Research Unit Matemática e Aplicações, hosted
[03.10.0109.10.03]
Coordinator of the Scientic Committee of Department of Mathematics, Uni-
[03.10.0109.10.03]
President of the Scientic-Pedagogic Council
[15.09.0017.09.02]
Vice-President
[25.09.9819.10.00]
Vice-President of the Department of Mathematics of University of Aveiro.
ematics of the University of Aveiro.
Centro de Investigação e Desenvolvimento em Matemática e Aplicações CIDMA, created in January
1, 2010, and recognized by the Portuguese Foundation for Science and Technology.
CIDMA contains seven research groups and 148 elements in total.
at the Department of Mathematics of the University of Aveiro (created in 1994, and
had six research groups with a total of 66 elements).
versity of Aveiro.
matics, University of Aveiro.
of the Department of Mathe-
of the Directive Board of the Regional-Center Delegation of the
Portuguese Mathematical Society.
Member of Mathematical Scientific Institutions:
[01.01.07present]
Member of the (Portuguese) National Commission of Mathematics.
[01.04.08present]
Member of the (Portuguese) International Center of Mathematics.
3
Teaching Experience at the University of Aveiro, Portugal
[since 1991]
Several courses at B.Sc., M.Sc. and Ph.D. levels. Namely:
• Calculus I;
• Calculus II;
• Calculus III;
• Dierential Equations;
• Functional Analysis;
• Functional Analysis with Applications (M.Sc. level; in English and Portuguese);
• Higher Analysis II (M.Sc. level);
• Integral Equations;
• Liner Functional Analysis;
• Mathematical Analysis I;
• Mathematical Analysis II;
• Mathematical Analysis VI;
• Mathematical Seminars (dierent types at M.Sc. and B.Sc. levels);
• Research Seminar I (Ph.D. level);
• Research Seminar II (Ph.D. level; in English and Portuguese);
• Topics of Pure Mathematics (Ph.D. level; in English);
• Topology.
Moreover, L. Castro was supervisor of Pedagogical Practice for teachers of Mathematics in the Portuguese High Schools (in seven dierent years).
L. Castro have written several student text notes for almost all the above indicated
courses (mostly in Portuguese).
L. Castro is the author of an extensive list of proposals for implementing new or
reformulations of courses and disciplines in the Mathematics area at the University
of Aveiro, Portugal.
L. Castro has been obtaining top evaluations in the ocial student classes evaluation
system of University of Aveiro. E.g. the teaching evaluations for the academic year
2012/2013 were:
8,15 (in the scale from 0 to 9), for the Global Teaching Evaluation in the course
of Mathematical Analysis I (B.Sc. level); Luís Castro was one of the six professors that were teaching this course last semester; the average of all those six
professors for the Global Teaching Evaluation in this course was 6,36.
8,67 (in the scale from 0 to 9), for the Global Teaching Evaluation in the course of
Functional Analysis with Applications (M.Sc. level); Luís Castro was the unique
professor for this course.
4
Teaching Experience outside Portugal
Mini-Courses for students of B.Sc. and post-graduate degrees, or integrated in workshops
[MC1]
An Overview about Convolution Type Operators with Applications, University of
Craiova, Romania, June 2003 (in English).
[MC2]
Operator Theory for Boundary Value Problems, University of Craiova, Romania,
June 2008 (in English).
[MC3]
Special Topics in Mathematics: Operator Theory Applied to Periodicity and Invertibility, UNESP, Campus de Ilha Solteira, Brazil, August 2011 (in Portuguese).
[MC4]
Regularity properties of Wiener-Hopf and Hankel operators, ERASMUS Programme
2011/2012, January 2012, Department of Mathematics, University of Padua, Italy.
[MC5]
Wave Diraction Problems from an Operator Theory Viewpoint, Minicourse within
the International Workshop Analysis, Operator Theory, and Mathematical Physics,
Ixtapa, México, February 2014.
Editorial Work
Book:
Advances in Harmonic Analysis and Operator Theory The Stefan Samko Anniversary Volume (A. Almeida,
L. Castro, F.-O. Speck; eds.), Operator Theory: Advances and Applications 229, Birkhäuser, Basel, 2013.
Member of the Editorial Board of the Journals:
Abstract and Applied Analysis
Banach Journal of Mathematical Analysis
International Journal of Functional Analysis, Operator Theory and Applications
Libertas Mathematica (new series)
MESA: Mathematics in Engineering, Science and Aerospace - A Transdisciplinary
International Journal
Scientific Works with New Results
Theses:
[T1]
L. P. Castro: A Characterization of the Intermediate Space in Generalized Factorization (in Portuguese), Masters Thesis, Instituto Superior Técnico, Technical
University of Lisbon, vii + 90 p., 1994.
MSC2000: 47A68 47B35 45E05 47G10
[T2]
L. P. Castro: Relations Between Singular Operators and Applications (in English),
Ph.D. Thesis, Instituto Superior Técnico, Technical University of Lisbon, xix +
159 p., 1998.
MSC2000: 47B35 47A20 45E10 47A05 47A53 47A68 47B99 15A09 35J05 42B30
78A45
5
[T3]
L. P. Castro: Integro-Dierential Equations and Operators of Prandtl Type (in
Portuguese), Detailed Summary of the Lecture for the second day of the Habillitation
(Agregação) Degree Examination, University of Aveiro, 34 p., 2004.
Published Papers:
[A1] L. P. Castro, F.-O. Speck: On the Characterization of the Intermediate Space in Generalized Factorizations, Mathematische Nachrichten 176 (1995), 3954.
MSC2000: 47B35, 45E05, 47A68, 47G10.
[A2] L. P. Castro, F.-O. Speck: On the Inversion of Higher Order Wiener-Hopf Operators, Journal of
Integral Equations and Applications 8 (1996), 269285.
MSC2000: 47B35, 47A05.
[A3] L. P. Castro, F.-O. Speck: A Fredholm Study for Convolution Operators with Piecewise Continuous
Symbols on a Union of a Finite and a Semi-Innite Interval, Applicable Analysis 64 (1997), 171187.
MSC2000: 47B35, 35J05, 47A53, 47A68, 47B37, 47G10.
[A4] L. P. Castro: Wiener-Hopf Operators on Unions of Finite Intervals: Relations and Generalized Inversion, F. J. Cobos, J. R. Gómez, F. Mateos (eds), Meeting on Matrix Analysis and Applications,
Sevilha: Departamento de Matemática Aplicada I, Universidade de Sevilha, 1997, 148155.
MSC2000: 47B35, 47A05, 47A20.
[A5] L. P. Castro: Integral Equations of Convolution Type on Unions of Intervals, Pitman Research Notes
in Mathematics 374 (1997), 4347.
MSC2000: 45E10, 47B35, 47G10, 47N20.
[A6] L. P. Castro, F.-O. Speck: Regularity Properties and Generalized Inverses of Delta-Related Operators,
Zeitschrift für Analysis und ihre Anwendungen (Jornal for Analysis and its Applications) 17 (1998),
577598.
MSC2000: 47A05, 47A68, 45E05, 46F10, 47A53, 47B35, 15A09.
[A7] L. P. Castro, F.-O. Speck: A Fredholm Study for a Sommerfeld Diraction Problem, Pitman Research
Notes in Mathematics 379 (1998), 4751.
MSC2000: 35J05, 47B35, 45F15, 35C15, 76Q05, 78A45.
[A8] L. P. Castro, F.-O. Speck: Relations Between Convolution Type Operators on Intervals and on the
Half-Line, Integral Equations and Operator Theory 37 (2000), 169207.
MSC2000: 47B35, 46E10, 47A05, 46E35, 47A20, 47A68, 78A45.
[A9] L. P. Castro, F.-O. Speck: An Operator Approach to a Boundary Value Problem for the Helmholtz
Equation, A. Gheondea (ed.) et al, Operator Theoretical Methods, Bucharest: The Theta Foundation,
2000, 6786.
MSC2000: 35J05, 45E10, 47A68, 47B35, 47F05, 35J25.
[A10] L. P. Castro: A Relation Between Convolution Type Operators on Intervals in Sobolev Spaces,
Applicable Analysis 74 (2000), 393412.
MSC2000: 47B35, 35J25, 45E10, 47A68, 47G10.
[A11] L. P. Castro: Tratamento Matemático de um Problema de Difracção de Ondas Planas por uma Barra
Suave (in Portuguese), Paulo M. M. Vila Real e José J. Grácio (eds), VI Congresso Nacional de
Mecânica Aplicada e Computacional, Aveiro: Universidade de Aveiro, 2000, 16731682.
MSC2000: 35J05, 47A68, 47B35, 78A45.
6
[A12] L. P. Castro: Some Relations Between Convolution Type Operators, Trudy Instituta Matematiki
(2000), 5559.
MSC2000: 47B35, 46E35, 47B38.
5
[A13] L. P. Castro: Solution of a Wave Diraction Problem by a Magnetic Strip, A. Bermúdez (ed.) et
al, Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave
Propagation, Philadelphia: SIAM, 2000, 231235.
MSC2000: 35J05, 35C99, 78A45.
[A14] L. P. Castro: On the Regularity of Solutions of an Electromagnetic Wave Diraction Problem on
a Strip in Bessel Potential Spaces, L. Consiglieri (ed.) et al, Proceedings of the Workshop Topics of
Regularity in Partial Dierential Equations, Lisboa: CMAF/Universidade de Lisboa, 2001, 7882.
MSC2000: 35B65, 35J05, 35J25, 78A45, 47B35, 45E10.
[A15] L. P. Castro: Strongly Elliptic Operators for a Plane Wave Diraction Problem in Bessel Potential
Spaces, Journal of Inequalities in Pure and Applied Mathematics 3 (2002), no. 2, 19.
MSC2000: 78A45, 35J25, 47B35, 47A50, 47A20, 47A68.
[A16] L. P. Castro, R. Duduchava, F.-O. Speck: Singular Integral Equations on Piecewise Smooth Curves
in Spaces of Smooth Functions, Operator Theory: Advances and Applications 135 (2002), 107144.
MSC2000: 45E05, 45F15, 46E35, 47A53, 47B35.
[A17] L. P. Castro, E. M. Rocha: Existence, Uniqueness and Dierentiability of the Solution of a Functional
Equation with General Delay, Annals of the University of Craiova XXIX (2002), 19.
MSC2000: 45G15, 47G10, 47H10, 46T20, 58C20.
[A18] L. P. Castro, F.-O. Speck: Well-Posedness of Diraction Problems Involving n Coplanar Strips,
Operator Theory: Advances and Applications 142 (2003), 7990.
MSC2000: 78A45, 35J05, 47B35.
[A19] L. P. Castro, R. Duduchava, F.-O. Speck: Localization and Minimal Normalization of some Basic
Mixed Boundary Value Problems, S. Samko, A. F. dos Santos e A. B. Lebre (eds.), Factorization,
Singular Operators and Related Problems, Londres: Kluwer Academic Publishers, 2003, 73100.
MSC2000: 35J40, 47A52, 47A53, 47B35.
[A20] L. P. Castro: Regularity of Convolution type Operators with PC Symbols in Bessel Potential Spaces
over Two Finite Intervals, Mathematische Nachrichten 261-262 (2003), 2336.
MSC2000: 47B35, 47G10, 47A20, 47A53, 35J25, 78A45.
[A21] L. P. Castro, F.-O. Speck, F. S. Teixeira: Explicit Solution of a DirichletNeumann Wedge Diraction
Problem with a Strip, Journal of Integral Equations and Applications 15 (2003), 359383.
MSC2000: 35C05, 35J05, 35J25, 45E10, 47A20, 47B35.
[A22] L. P. Castro: Solution of a Sommerfeld Diraction Problem with a Real Wave Number, C. Constanda
(ed.) et al., Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Boston:
Birkhäuser, 2004, 2530.
MSC2000: 35J25, 45E10, 47A68, 47B35, 44A10.
[A23] L. P. Castro, F.-O. Speck, F. S. Teixeira: On a Class of Wedge Diraction Problems posted by Erhard
Meister, Operator Theory: Advances and Applications 147 (2004), 213240.
MSC2000: 35J25, 30E25, 45E10, 47A53, 47A68, 47B35.
[A24] L. P. Castro, F.-O. Speck, F. S. Teixeira: A Direct Approach to Convolution Type Operators with
Symmetry, Mathematische Nachrichten 269-270 (2004), 7385.
MSC2000: 47B35, 47A68, 47A53.
7
[A25] L. P. Castro, A. Moura Santos: An Operator Approach for an Oblique Derivative Boundary-Transmission
Problem, Mathematical Methods in the Applied Sciences 27 (2004), 14691491.
MSC2000: 35J25, 35J05, 78A45, 47B35, 47A53, 47A68.
[A26] L. P. Castro, R. Duduchava, F.-O. Speck: Finite Interval Convolution Operators with Transmission
Property, Integral Equations and Operator Theory 52 (2005), 165179.
MSC2000: 47B35, 47A05, 46E35, 45E10.
[A27] L. P. Castro, F.-O. Speck: Convolution Operators on Intervals and Their use in Diraction Theory,
Feature Article of CIM Bulletin 19, 2005, 1018.
MSC2000: 47B35, 47A05, 46E35, 45E10, 35J25, 35J05, 78A45.
[A28] L. P. Castro, F.-O. Speck: Inversion of Matrix Convolution Type Operators with Symmetry, Portugaliæ
Mathematica (N.S.) 62 (2005), 193216.
MSC2000: 47B35, 47A68.
[A29] L. P. Castro, B. Zhang: Invertibility of Convolution Operators arising in Problems of Wave Diraction
by a Strip with Reactance and Dirichlet Conditions, Zeitschrift für Analysis und ihre Anwendungen
(Jornal for Analysis and its Applications) 24 (2005), 545560.
MSC2000: 47A05, 47A20, 47A68, 47B35, 35J05, 78A45, 42A75, 42A85, 45E10.
[A30] L. P. Castro: On the Invertibility of Prandtl Type Operators in Sobolev Spaces on a Semi-Line,
Proceedings of ICNPAA 2004: 5th International Conference on Mathematical Problems in Engineering
and Aerospace Sciences, Cambridge Scientic Publishers, Cambridge, 2005, 137144.
MSC2000: 47B35, 47A05, 47A68, 46E35, 45E10.
[A31] G. Bogveradze, L. P. Castro: Wiener-Hopf plus Hankel Operators on the Real Line with Unitary and
Sectorial Symbols, Contemporary Mathematics 414 (2006), 7785.
MSC2000: 47B35, 47A68, 47A53.
[A32] L. P. Castro, D. Natroshvili: The Potential Method for the Reactance Wave Diraction Problem in
a Scale of Spaces, Georgian Mathematical Journal 13 (2006), 251260.
MSC2000: 35J05, 35J25, 35P25.
[A33] A. P. Nolasco, L. P. Castro: Factorization Theory for Wiener-Hopf plus Hankel Operators with
Almost Periodic Symbols, Contemporary Mathematics 414 (2006), 111128.
MSC2000: 47B35, 47A68, 47A53, 42A75.
[A34] L. P. Castro, R. Duduchava, F.-O. Speck: Asymmetric Factorizations of Matrix Functions on the
Real Line, Operator Theory: Advances and Applications 170 (2006), 5374.
MSC2000: 47A68, 15A23, 47B35, 15A21.
[A35] L. P. Castro, F.-O. Speck, F. S. Teixeira Mixed Boundary Value Problems for the Helmholtz Equation
in a Quadrant, Integral Equations and Operator Theory 56 (2006), 144.
MSC2000: 35J25, 30E25, 47G30, 45E10, 47A53, 47A20.
[A36] L. P. Castro, D. Natroshvili: The Reactance Wave Diraction Problem by a Strip in a Scale of Bessel
Potential Spaces, Opuscula Mathematica 26 (2006), 289303.
MSC2000: 35J05, 35J25, 47A53, 47B35, 47F05, 45E10, 78A45.
[A37] L. P. Castro, D. Kapanadze: On Wave Diraction by a Half-plane with Dierent Face Impedances,
Mathematical Methods in the Applied Sciences 30 (2007), 513527.
MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30, 47B35.
[A38] A. P. Nolasco, L. P. Castro: A Duduchava-Saginashvili's Type Theory for Wiener-Hopf plus Hankel
Operators, Journal of Mathematical Analysis and Applications 331 (2007), 329-341.
MSC2000: 47B35, 47A68, 47A53, 42A75.
[A39] L. P. Castro, D. Natroshvili, I. G. Stratis: Wave Scattering by an Elastic Obstacle with Interior Cuts,
Mathematische Nachrichten 280 (2007), 9961013.
MSC2000: 31A10, 35J55, 74B05, 74F10.
8
[A40] A. P. Nolasco, L. P. Castro: A Stronger Version of the Sarason's Type Theorem for Wiener-HopfHankel Operators with SAP Fourier Symbols, Bulletin of the Greek Mathematical Society 54 (2007),
5978.
MSC2000: 47B35, 47A68, 47A53, 42A75.
[A41] L. P. Castro, D. Kapanadze: A Boundary-Transmission Problem with First and Second Kind Conditions for the Helmholtz Equation in Besov and Bessel Potential Spaces, Bulletin of the Greek Mathematical Society 54 (2007), 7996.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A42] L. P. Castro, A. M. Simões: Mathematical Treatment of a Wave Diraction Problem with Higher
Order Boundary Conditions, in: Trends and Challenges in Applied Mathematics (G. Păltineanu,
E. Popescu, I. Toma, Eds.). Matrix Rom Publishers (Romanian Council of Scientic Research from
Higher Education), Bucharest, 2007, 4449.
MSC2000: 35J05, 35J25, 78A45, 35C15, 47A20, 47B35, 45E10.
[A43] G. Bogveradze, L. P. Castro: On the Fredholm Property and Index of Wiener-Hopf plus/minus
Hankel Operators with Piecewise Almost Periodic Symbols, Applied Mathematics, Informatics and
Mechanics 12(1) (2007), 2540.
MSC2000: 47B35, 47A53, 47A68, 42A75.
[A44] L. P. Castro, D. Kapanadze: The Impedance Boundary-Value Problem of Diraction by a Strip,
Journal of Mathematical Analysis and Applications 337 (2008), 10311040.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A45] L. P. Castro, A. H. Kamel: Mathieu Function and Kontorovich-Lebedev Transforms in the L-shaped
Wave Scattering Problem, African Diaspora Journal of Mathematics 5 (2008), 145161.
MSC2000: 30E25, 33E10, 35J05, 44A15, 45H05.
[A46] L. P. Castro, E. Pesetskaya: Analytical Investigation of the Eective Properties of 2D Composite
Materials, in: A. J. M. Ferreira (ed.) et al, Proceedings of the International Conference on Mathematics and Continuum Mechanics, Centro Internacional de Matemática, 2008, 1318.
MSC2000: 30D05, 30E25, 35B27, 74Q05.
[A47] L. P. Castro, D. Kapanadze: Pseudo-dierential Operators in a Wave Diraction Problem with
Impedance Conditions, Fractional Calculus & Applied Analysis 11 (2008), 1526.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A48] L. P. Castro, D. Kapanadze: Dirichlet-Neumann-Impedance Boundary-Value Problems Arising in
Rectangular Wedge Diraction Problems, Proceedings of the American Mathematical Society 136
(2008), 21132123.
MSC2000: 35J25, 35J05, 45E10, 47A20, 47G30, 47H50.
[A49] G. Bogveradze, L. P. Castro: Invertibility Properties of Matrix Wiener-Hopf plus Hankel Integral
Operators, Mathematical Modelling and Analysis 13(1) (2008), 716.
MSC2000: 47B35, 47A53, 47A68, 42A75.
[A50] L. P. Castro, E. M. Rojas: Similarity Transformation Methods for Singular Integral Operators with
Reection on Weighted Lebesgue Spaces, International Journal of Modern Mathematics 3(3) (2008),
295313.
MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20.
[A51] G. Bogveradze, L. P. Castro: On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel
Operators with Semi-Almost Periodic Symbols, Operator Theory: Advances and Applications 181
(2008), 143158.
MSC2000: 47A53, 47B35, 47A68, 42A75.
[A52] L. P. Castro, D. Kapanadze: Diraction by a Strip and by a Half-plane with Variable Face Impedances,
Operator Theory: Advances and Applications 181 (2008), 159172.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A53] L. P. Castro, R. Duduchava, F.-O. Speck: Solvability of Singular Integro-Dierential Equations with
Multiple Complex Shifts, Complex Analysis and Operator Theory 2(2) (2008), 327343.
MSC2000: 45E10, 47B35, 47A53, 47A68.
9
[A54] L. P. Castro, D. Kapanadze: Wave Diraction by a 45 Degrees Wedge Sector with Dirichlet and
Neumann Boundary Conditions, Mathematical and Computer Modelling 48 (2008), 114121.
MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30.
[A55] L. P. Castro, E. M. Rojas: Reduction of Singular Integral Operators with Flip and their Fredholm
Property, Lobachevskii Journal of Mathematics 29(3) (2008), 119129.
MSC2000: 47G10, 47B35, 47A53, 45E05, 45F15, 47A20.
[A56] L. P. Castro, D. Kapanadze: Diraction by a Union of Strips with Impedance Conditions in Besov
and Bessel Potential Spaces, Mathematical Modelling and Analysis 13(2) (2008), 183194.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A57] G. Bogveradze, L. P. Castro: Toeplitz plus Hankel Operators with Innite Index, Integral Equations
and Operator Theory 62(1) (2008), 4363.
MSC2000: 47B35, 47A53, 47A68, 42A75.
[A58] L. P. Castro, D. Kapanadze: Wave Diraction by a Strip with First and Second Kind Boundary
Conditions: the Real Wave Number Case, Mathematische Nachrichten 281(10) (2008), 14001411.
MSC2000: 35J05, 35J25, 35C15, 47H50.
[A59] L. P. Castro, A. Ramos: Hyers-Ulam-Rassias Stability for a Class of Nonlinear Volterra Integral
Equations, Banach Journal of Mathematical Analysis 3(1) (2009), 3643.
MSC2000: 45M10, 45D05, 34K20.
[A60] G. Bogveradze, L. P. Castro: Invertibility Characterization of Wiener-Hopf plus Hankel Operators
Via Odd Asymmetric Factorizations, Banach Journal of Mathematical Analysis 3(1) (2009), 118.
MSC2000: 47B35, 47A68, 47A53.
[A61] L. P. Castro, A. S. Silva: Invertibility of Matrix Wiener-Hopf plus Hankel Operators with Symbols
Producing a Positive Numerical Range, Zeitschrift für Analysis und ihre Anwendungen (Jornal for
Analysis and its Applications) 28(1) (2009), 119127.
MSC2000: 47B35, 47A05, 47A12, 47A20, 42A75.
[A62] L. P. Castro, A. M. Simões: Fredholm Analysis for a Wave Diraction Problem with Higher Order
Boundary Conditions on a Union of Strips, American Institute of Physics, AIP - Conf. Proc. 1186
(2009), 4956.
MSC2000: 47A53, 35J25, 78A45, 47A20, 47B35, 45E10.
[A63] A. P. Nolasco, L. P. Castro: A Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators with Piecewise Almost Periodic Fourier Symbols, Journal of Operator Theory 62(1) (2009), 331.
MSC2000: 47B35, 47A68, 47A53, 42A75.
[A64] A. P. Nolasco, L. P. Castro: A Criterion for Lateral Invertibility of Matrix Wiener-Hopf plus Hankel
Operators with Good Hausdor Sets, in More Progresses in Analysis (H. Begehr, F. Nicolosi, edt.),
World Scientic Publishing Co., 349358 , 2009.
MSC2000: 47B35, 47A68, 47A05, 42A75.
[A65] L. P. Castro, E. Rojas: Explicit Operator Relations for Singular Integral Operators with a Flip on
a Weighted Lebesgue Space, in: Mathematical Problems in Engineering and Aerospace Sciences (S.
Sivasundaram, ed.), Cambridge: Cambridge Scientic Publishers, 2009, 543-550.
MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20.
[A66] L. P. Castro, A. M. Simões: Fredholm Analysis for a Wave Diraction Problem with Higher Order
Boundary Conditions on a Strip, in: Mathematical Problems in Engineering and Aerospace Sciences
(S. Sivasundaram, ed.), Cambridge: Cambridge Scientic Publishers, 2009, 535542.
MSC2000: 35L60, 47A53, 47B35, 47F05, 47G10.
[A67] L. P. Castro, E. Pesetskaya, S. Rogosin: Eective Conductivity of a Composite Material with Nonideal Contact Conditions, Complex Variables and Elliptic Equations 54 (2009), 10851100.
MSC2000: 30E25, 35B27, 74Q05, 74M15.
10
[A68] G. Bogveradze, L. P. Castro: Fredholm Characterization of Wiener-Hopf-Hankel Integral Operators
with Piecewise Almost Periodic Symbols, C. Constanda (ed.) et al., Integral Methods in Science and
Engineering, Boston: Birkhäuser, 2010, 6574.
MSC2010: 47B35, 47A53, 47A68, 42A75.
[A69] L. P. Castro, A. Ramos: Hyers-Ulam and Hyers-Ulam-Rassias Stability of Volterra Integral Equations with a Delay, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston:
Birkhäuser, 2010, 8594.
MSC2010: 45M10, 45D05, 34K20, 39B82, 47H99.
[A70] L. P. Castro, A. Silva: Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and Minus
Hankel Operators with Symmetry, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston: Birkhäuser, 2010, 95104.
MSC2010: 47B35, 47A53, 42A75.
[A71] L. P. Castro, E. M. Rojas: Invertibility of Singular Integral Operators with Flip through Explicit
Operator Relations, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston:
Birkhäuser, 2010, 105114.
MSC2010: 47G10, 47A53, 45E05, 45F15, 47A20.
[A72] L. P. Castro, D. Kapanadze: Exterior Wedge Diraction Problems with Dirichlet, Neumann and
Impedance Boundary Conditions, Acta Applicanda Mathematicae 110 (2010), 289311.
MSC2010: 35J25, 35J05, 45E10, 47A20, 47G30, 47B35, 47H50.
[A73] L. P. Castro, E. Pesetskaya: A Transmission Problem with Imperfect Contact for an Unbounded
Multiply Connected Domain, Mathematical Methods in the Applied Sciences 33 (2010), 517526.
MSC2010: 30E25, 35B27, 74Q05.
[A74] L. P. Castro, Q. Chen, S. Saitoh: Source inversion of heat conduction from a nite number of
observation data, Applicable Analysis 89(6) (2010), 801813.
MSC2010: 30E25, 35B27, 74Q05.
[A75] L. P. Castro, E. M. Rojas: A collocation method for singular integral operators with reection, RIMS
Kôkyûroku 1719 (2010), 155167.
MSC2010: 65L60, 65R20, 45E05, 47A53, 47G10.
[A76] L. P. Castro, A. S. Silva: Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators
with Semi-Almost Periodic Symbols, Cubo 12(2) (2010), 217234.
MSC2010: 47B35, 47A05, 47A12, 47A20, 42A75.
[A77] L. P. Castro, E.M. Rojas, S. Saitoh: Inversion from dierent kinds of information and real inversion
formulas of the Laplace transform from a nite number of data, MESA Mathematics in Engineering,
Science and Aerospace 1(2) (2010), 181190.
MSC2010: 44A10, 46E22, 47A52, 44A15, 30C40.
[A78] L. P. Castro, E. M. Rojas: Explicit solutions of Cauchy singular integral equations with weighted
Carleman shift, Journal of Mathematical Analysis and Applications 371 (2010), 128133.
MSC2010: 47G10, 47A68, 45E05, 45P05, 30E25, 47B37
[A79] L. P. Castro, S. Saitoh, Yoshihiro Sawano, Alberto M. Simões: Discretization by the theory of
reproducing kernels, RIMS Kôkyûroku 1719 (2010), 142154.
MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05.
[A80] L. P. Castro, A. S. Silva: Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on
Weighted Lebesgue Spaces, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 7784.
PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa. MSC2010: 47B35, 47A05, 47A68.
[A81] L. P. Castro, E. M. Rojas: Bounds for the Kernel Dimension of Singular Integral Operators with
Carleman Shift, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 6876.
PACS: 02.30.Tb, 02.30.Rz, 02.30.Sa. MSC2010: 47G10, 30E20, 45E05.
11
[A82] L. P. Castro, A. M. Simões: On the Solvability of a Problem of Wave Diraction by a Union of a
Strip and a Half-Plane, American Institute of Physics, AIP - Conf. Proc. 1301 (2010), 8596.
PACS: 02.30.Tb; 43.20.Bi; 41.20.Jb; 02.30.Jr; 02.30.Sa; 02.30.Rz; 02.30.Uu. MSC2010: 35J05, 35J25,
47A68, 47B35.
[A83] L. P. Castro, A. Silva: Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators
with piecewise almost periodic symbols, Bulletin of the Greek Mathematical Society 57 (2010), 99113.
MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10.
[A84] L. P. Castro, E. M. Rojas: Moore-Penrose invertibility of singular integral operators with Carleman
shift, Bulletin of the Greek Mathematical Society 57 (2010), 8397.
MSC2010: 41A35, 45E05, 47A53, 15A09.
[A85] L. P. Castro, E. M. Rojas: On the Solvability of Singular Integral Equations with Reection on the
Unit Circle, Integral Equations and Operator Theory 70 (2011), 6399.
MSC2010: 45E10, 30E20, 30E25, 47A68, 47G10.
[A86] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: Fundamental error estimate
inequalities for the Tikhonov regularization using reproducing kernels, short version of [A99], Hokkaido
University Technical Report Series in Mathematics 147 (edited by Mikihiro Hayashi, Takahiko Nakazi,
Masahiro Yamada, Rikio Yoneda), 2011, 7378.
MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30.
[A87] L. P. Castro, D. Kapanadze, R. Duduchava: Electromagnetic scattering by cylindrical orthotropic
waveguide irises, Georgian Mathematical Journal 18 (2011), 99120.
MSC2010: 30E25, 35B27, 74Q05.
[A88] L. P. Castro, A.S. Silva: On the invertibility of classes of integral operators via generalized factorizations, American Institute of Physics, AIP - Conf. Proc. 1404 (2011), 242249.
PACS: 02.30.Tb; 02.30.Rz; 02.30.Sa
[A89] L. P. Castro, A. S. Silva: Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators on Muckenhoupt
Weighted Lebesgue Spaces, MESA Mathematics in Engineering, Science and Aerospace 2, No. 4
(2011), 341353.
MSC2010: 47B35, 47A53, 42A75.
[A90] L. P. Castro, A. Ramos: Hyers-Ulam Stability for a Class of Fredholm Integral Equations, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and
Science, Cambridge Scientic Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 171176.
MSC2010: 45M10, 45D05, 34K20.
[A91] L. P. Castro, A. Silva: Wiener-Hopf-Hankel Operators with Semi-almost Periodic Symbols on Weighted
Lebesgue Spaces, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientic Publishers (ISBN: 978-1-908106-18-6), UK, 2011,
193202.
MSC2010: 45M10, 45D05, 34K20.
[A92] L. P. Castro, E. M. Rojas: Splitting Property for Singular Integral Operators with a Weighted Shift,
Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace
and Science, Cambridge Scientic Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 177184.
MSC2010: 47G10, 45E05, 45P05, 47A53, 47B35.
[A93] L. P. Castro, E. M. Rojas: Continuous Coecient Representations for Singular Integral Operators
with Shift, Proceedings of the 8th International Conference of Mathematical Problems in Engineering,
Aerospace and Science, Cambridge Scientic Publishers (ISBN: 978-1-908106-18-6), UK, 2011, 185
192.
MSC2010: 47G10, 30E20, 45E05, 47A53, 47B35.
[A94] L. P. Castro, A. S. Silva: Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost
periodic symbols on weighted Lebesgue spaces, Memoirs on Dierential Equations and Mathematical
Physics 53 (2011), 3962.
MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10.
12
[A95] L. P. Castro, A.S. Silva: Defect numbers of singular integral operators with Carleman shift and almost
periodic coecients, Journal of Mathematical Analysis and Applications 387 (2012), 6676.
MSC2010: 47B35, 45E05, 47A68, 47B37, 47G10, 47A53, 42A75
[A96] L. P. Castro, S. Saitoh: Applications of Reproducing Kernels to Fractional Functions and Convolution
Integral Equations, Hokkaido University Technical Report Series in Mathematics 152 (2012), 5763.
MSC2010: 45E10, 46E22, 47A30, 47B32, 47B38, 47G10.
[A97] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: Fundamental error estimate
inequalities for the Tikhonov regularization using reproducing kernels, in: Inequalities and Applications (ISBN 978-3-0348-0248-2), C. Bandle, A. Gilányi, L. Losonczi, M. Plum (Eds.), International
Series of Numerical Mathematics 161, Birkhäuser Verlag, 87101, 2012.
MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30.
[A98] L. P. Castro, S. Saitoh: Natural outputs and global inputs of linear systems with a nite number of
input data, Appl. Anal. 91(2), (2012) 225236.
MSC2010: 44A15, 30C40, 35K05, 35K08, 35L05, 46E22, 46E35, 65J20.
[A99] L. P. Castro, S. Saitoh: New convolutions and norm inequalities, Mathematical Inequalities & Applications 15 (3) (2012), 707716.
MSC2010: 44A35, 30C40, 42A85, 45E10, 46E22, 47A30, 47B32, 47B38, 47G10.
[A100] L. P. Castro, S. Saitoh, Y. Sawano, A. Simões: General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coecients on the Whole Spaces, Complex Analysis and Operator
Theory 6 (2012), 307324.
MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05.
[A101] L. P. Castro, A. M. Simões, Integral equation methods in problems of wave diraction by a strip
with higher order reactance conditions, American Institute of Physics, AIP - Conf. Proc. 1493 (Ed.:
S. Sivasundaram), 904910, NY, 2012.
[A102] L. P. Castro, S. Saitoh, Y. Sawano, A. S. Silva: Discrete linear dierential equations, Analysis
(2012), 181198. MSC2010: 34A25, 34B05, 30C40, 46E22, 47B32, 47A52.
32
[A103] L. P. Castro, S. Saitoh, N. M. Tuan: Convolutions, integral transforms and integral equations by
means of the theory of reproducing kernels, Opuscula Mathematica 32(2012), no. 4, 633646.
MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.
[A104] L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolution
inequalities, Progress in Analysis, Volume 1 (eds.: V.Burenkov et al.), Moscow, Peoples' Friendship
University of Russia, 2012, 230237.
MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.
[A105] L. P. Castro, H. Itou, S. Saitoh: Numerical Solutions of Linear Singular Integral Equations by means
of Tikhonov Regularization and Reproducing Kernels, Houston Journal of Mathematics 38(4) (2012),
12611276.
MSC2010: 45E05; 45L05; 30C40; 65R20.
[A106] L. P. Castro, A.S. Silva: Wiener-Hopf-Hankel operators with piecewise continuous Fourier symbols
on variable exponent Lebesgue spaces, L.H. Son, W. Tutschke, edts, Interactions between Real and
Complex Analysis, 243-255, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministry
for Science and Technology of Vietnam, Ha Noi, 2012.
MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75.
[A107] L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, A new discretization method by means of
reproducing kernels, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis,
185-223, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministry for Science and
Technology of Vietnam, Ha Noi, 2012.
MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32, 47B38, 47G10, 65R20.
[A108] L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolution
inequalities, Progress in Analysis, Vol. 1, Proceedings of the 8th Congress of the International Society
for Analysis, its Applications, and Computation (V.I. Burenkov, M.L. Goldman, E.B. Laneev and V.D.
13
Stepanov; eds), ISBN: 978-5-209-04582-3, Peoples' Friendship University of Russia, Moscow, 2012, 230
237.
MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.
[A109] L. P. Castro, S. Saitoh: Fractional Functions and their Representations, Complex Analysis and
Operator Theory 7(4) (2013), 10491063. DOI 10.1007/s11785-011-0154-1 MSC2010: 46E22, 30C40,
42A38, 47B32.
[A110] L. P. Castro, D. Kapanadze: Wave diraction by a half-plane with an obstacle perpendicular to the
boundary, Journal of Dierential Equations 254 (2013), 493510.
MSC2010: 35J05, 35L05, 35L20, 78A45
[A111] L. P. Castro, D. Kapanadze: Mixed boundary value problems of diraction by a half-plane with a
screen/crack perpendicular to the boundary, Proc. A. Razmadze Math. Inst. 162 (2013), 121126.
MSC2010: 35J05, 35L05, 35L20, 78A45.
[A112] L. P. Castro, K. Murata, S. Saitoh, M. Yamada: Explicit Integral Representations of Implicit
Functions, Carpathian Journal of Mathematics 29(2) (2013), 141148. MSC2010: 26B10, 30C40,
47J07, 93C10.
[A113] L. P. Castro, A. M. Simões: The impedance problem of wave diraction by a strip with higher order
boundary conditions, American Institute of Physics, AIP - Conf. Proc. 1561, M. D. Todorov et al,
184193, NY, 2013.
[A114] L. P. Castro, A.S. Silva: Invertibility Criteria for Wiener-Hopf plus Hankel Operators with Dierent
Almost Periodic Fourier Symbol Matrices, Annali di Matematica Pura ed Applicata 192 (2013), 1141
1152 DOI 10.1007/s10231-012-0262-1. MSC2010: 47B35, 47A05, 47A20, 42A75
[A115] L. P. Castro, R. C. Guerra: Hyers-Ulam-Rassias stability of Volterra integral equations within
weighted spaces, Libertas Mathematica (new series) 33(2) (2013), 2135. MSC2010: 45M10, 45D05,
34K20, 39B82, 47H99.
[A116] L. P. Castro, S. Saitoh: Optimal and Approximate Solutions of Singular Integral Equations by
means of Reproducing Kernels, Complex Analysis and Operator Theory 7 (2013), 18391851 DOI
10.1007/s11785-012-0254-6 MSC2010: 45E05, 45L05, 30C40, 65R20.
[A117] L. P. Castro, M. M. Rodrigues: The WeierstrassWhittaker integral transform, Memoirs on Differential Equations and Mathematical Physics 60 (2013), 5772.
[A118] L.P. Castro, M.R. Haqueb, M.M. Murshed, S. Saitoh, N.M. Tuan, Quadratic Fourier transforms,
Annals of Functional Analysis 5(1) (2014), 1023. MSC2010: 42A38, 30C40, 32A36, 46E22.
[A119] L.P. Castro, R. Duduchava, F.-O. Speck, Diraction from polygonal-conical screens, an operator
approach, Oper. Theory Adv. Appl. 242 (2014), 113137.
[A120] L. P. Castro, D. Kapanadze: Mixed boundary value problems of diraction by a half-plane with
an obstacle perpendicular to the boundary, Mathematical Methods in Applied Sciences 37 (2014),
14121427. MSC2010: 35J05, 35L05, 35L20, 78A45
Accepted Works (but not yet published or only published in Online First):
[A121] L. P. Castro, H. Fujiwara, M. M. Rodrigues, S. Saitoh and V. K. Tuan, Aveiro Discretization Method
in Mathematics: A New Discretization Principle, in: Mathematics without Boundaries: Surveys in
Pure Mathematics, Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York,
52 pp., to appear. MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32,
47B38, 47G10, 65R20.
[A122] L. P. Castro, H. Fujiwara, T. Qian, S. Saitoh: How to catch smoothing properties and analyticity of
functions by computers?, in: Mathematics without Boundaries: Surveys in Interdisciplinary Research,
Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York, 15 pp., to appear.
MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05.
14
[A123] L. P. Castro, M. M. Rodrigues, S. Saitoh, Initial value problems in linear integral operator equations,
in: Topics in Mathematical Analysis and Applications, Themistocles M. Rassias and Laszlo Toth (edts.),
Springer-Verlag, New York, 12 pp., to appear. MSC2010: 45C05, 32A30, 42A38, 45A05, 45D05, 45E05,
45P05, 46E22, 47A05.
[A124] L. P. Castro, M. M. Rodrigues, S. Saitoh: A fundamental theorem on initial value problems by
using the theory of reproducing kernels, Complex Analysis and Operator Theory, 11pp., to appear.
MSC2010: 58J47, 32A25, 45Q05, 46E22, 47A70, 47B32.
[A125] L.P. Castro, A.S. Silva, Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier
symbols on standard and variable exponent Lebesgue spaces, 12 pp. Annals of Functional Analysis, to
appear.
MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75.
[A126] L. P. Castro, D. Kapanadze, E. Pesetskaya, A heat conduction problem of 2D unbounded composites with imperfect contact conditions, ZAMM - Journal of Applied Mathematics and Mechanics /
Zeitschrift für Angewandte Mathematik und Mechanik, 14 pp., to appear.
Scientific Communications about New Results
Luis Castro gave (himself) more than 35 talks at research seminars and
His co-authors gave over other 100 talks about joint works.
workshops.
65 talks at conferences or
20 examples of recent scientific talks delivered by L. Castro:
[T1] Invited Talk:
Invertibility of Toeplitz-like Operators Arising in Oblique Derivative Boundary Value Problems for the
Helmholtz Equation, International Workshop on TOEPLITZ-LIKE OPERATORS AND RELATED
TOPICS, November 2008, CINVESTAV, México City, México.
[T2] Key Lecture:
Problems of Wave Diraction by Quadrants Analysed by a Half-line Potential Approach, First International Conference on Application of Mathematics in Technical and Natural Sciences, June 2009,
Bulgaria.
[T3] Main Talk:
A Polynomial Collocation Method for a Class of Singular Integral Equations with Shift, Workshop
Recent Developments of Numerical Analysis and Numerical Computation Algorithms (organized by:
Kaname Amano (Graduate School of Science and Engineering, Ehime Univ.), December 2009, Research
Institute for Mathematical Sciences, Kyoto University, Japan.
[T4] Plenary Talk:
Integral Equation Modelling of Electromagnetic Scattering by Waveguides, Advanced School on Integral Equations, April 2010, Instituto Superior Técnico, Technical University of Lisbon, Lisbon.
[T5] Invited Talk:
Methods from Operator Theory in Diraction Problems, II Meeting of Mathematical Analysis, June
2010, University of Trás-os-Montes and Alto Douro, Vila Real, Portugal.
[T6] Key Lecture:
Electromagnetic Scattering by Orthotropic Waveguides, Second Conference of the Euro-American
Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, June
2010, Sozopol, Bulgaria.
[T7] Invited Talk:
A transmission problem with imperfect contact on unbounded double periodic multiply connected domains, Workshop on Operator Theory, Complex Analysis and Applications, October 2010, Technical
University of Lisbon, UTL, Lisbon.
15
[T8] Key Lecture:
The Helmholtz equation in 270 degrees wedge sectors facing Dirichlet, Neumann and impedance boundary conditions, AMiTaNS'11 Third Conference of the Euro-American Consortium for Promoting the
Application of Mathematics in Technical and Natural Sciences, June 2011, Albena, Bulgaria.
[T9] Plenary Talk:
Algebraization of Stability for Singular Integral Equations, Dincon 2011: X Conferência Brasileira de
Dinâmica, Controle e Aplicações, August-September 2011, Águas de Lindóia, São Paulo, Brazil.
[T10] On the Fredholm Property of Wiener-Hopf and Wiener-Hopf-Hankel Operators with Piecewise-Almost
Periodic Symbols on Weighted Lebesgue Spaces, INTERNATIONAL CONFERENCE CONTINUUM
MECHANICS AND RELATED PROBLEMS OF ANALYSIS, dedicated to the 120-th birthday anniversary of academician N. Muskhelishvili, September 2011, Tbilisi, Georgia
[T11] Plenary Talk:
Projection Methods and Generalized Solutions for a Class of Singular Integral Equations with Carleman
Shift, II International Conference of the Georgian Mathematical Union, September 2011, Batumi,
Georgia.
[T12] Invited Talk:
Wiener-Hopf plus Hankel operators in exterior wedge problems for the Helmholtz equation, January
25, 2012, Dipartimento di Matematica, Università degli Studi di Padova, Italy.
[T13] Invited Talk:
Wiener-Hopf and Wiener-Hopf-Hankel Operators with Piecewise-Almost Periodic Symbols on Weighted
Lebesgue Spaces, The Second Wiener-Hopf Workshop, June 2012, Aberystwyth University, UK.
[T14] Potential and variational methods in wave diraction problems with impedance and Dirichlet-type
conditions, ICNPAA 2012 World Congress: 9th International Conference on Mathematical Problems
in Engineering, Aerospace and Sciences (Section: "Integral Equations and Their Applications in
Science and Technology"), section organized by L. Castro and J. Banas, July 2012, Vienna University
of Technology, Austria.
[T15] Plenary Talk:
Fredholm theory of Wiener-Hopf-Hankel operators in weighted Lebesgue spaces, The 20th International Conference on Finite or Innite Dimensional Complex Analysis and Applications, July-August
2012, Hanoi University of Science and Technology, Vietnam.
[T16] Invited Talk:
A crack problem in wave diraction for dierent types of boundary conditions, Workshop on Operator
Theory and Operator Algebras 2012, September 2012, IST, Technical University of Lisbon, Lisbon,
Portugal.
[T17] Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable
exponent Lebesgue spaces, GPOTS 2013: Great Plains Operator Theory Symposium, May 2013,
Berkeley, University of California at Berkeley, United States of America.
[T18] Invited Talk:
Boundary integral methods for classes of wedge diraction problems with Dirichlet, Neumann and
impedance boundary conditions, Meeting on Operator Theory, Complex Analysis and Applications
2013, July 2013, University of Minho at Guimarães, Portugal.
[T19] Invited Talk:
Wave diraction boundary value problems with a crack in the main boundary, International Workshop on Analysis, Dierential Equations and Control Theory, Instituto de Física y Matemáticas,
Universidad Michiocana de San Nicolás, Morelia, México, 1721/02/2014.
[T20] Invited Talk:
Operator theory analysis of Dirichlet-Neumann boundary value problems in a half-plane with a crack,
WOTCA 2014 Workshop on Operator Theory, Complex Analysis, and Applications, Instituto Superior Técnico, Lisboa, Portugal, June 19-21, 2014.
16
Member of Academic Juries
L. Castro was member of a great variety of Academic Juries in the Portuguese Universities (for Full Professor, Associate Professor and Auxiliary Professor positions; in Ph.D. and M.Sc. candidates examinations;
for Research positions in the Portuguese System of the Foundation for Science and Technology; in Scientic
Prizes).
Master Theses Supervision
[10.09.0113.04.03]
Dorabella Martins da Silva: Wiener-Hopf Operators, Factorizations and Realization
Theory (in Portuguese), xii + 96 p., University of Aveiro, April 2003. Supervisor:
Luís Castro.
[07.10.0214.06.04]
Alberto Manuel Tavares Simões: Matricial Relations and Invertibility of Convolution Type Operators in Lebesgue Spaces (in Portuguese), viii + 119 p., University
of Aveiro, June 2004. Supervisor: Luís Castro.
[27.02.0407.07.06]
Paulo Alexandre Teixeira Pereira: Wiener-Hopf-Hankel Operators (in Portuguese),
v + 63 p., University of Aveiro, July 2006. Supervisor: Luís Castro.
[18.07.0519.07.07]
Ana Rute Esteves: Fredholm Theory in Hilbert Spaces (in Portuguese), 54 p.,
University of Aveiro, July 2007. Supervisor: Luís Castro.
[18.07.0517.07.07]
Cátia Rodrigues: Stability and Regularity of Toeplitz and Hankel Matrices (in
Portuguese), 102 p., University of Aveiro, July 2007. Supervisor: Luís Castro.
PhD Supervision
[09.09.0212.03.07]
Ana Paula Branco Nolasco: Regularity properties of Wiener-Hopf-Hankel operators, xiv + 178 p., University of Aveiro. Supervisor: Luís Castro.
Ana Nolasco was supported by the scholarship SFRH/BD/11090/2002, Fundação
para a Ciência e a Tecnologia (Portugal).
[01.04.0509.04.08]
Giorgi Bogveradze: Fredholm Theory for Wiener-Hopf plus Hankel operators, xvii
+ 169 p., University of Aveiro. Supervisor: Luís Castro.
Giorgi Bogveradze was supported by a scholarship from UI&D Matemática e Aplicações, Fundação para a Ciência e a Tecnologia (Portugal).
[02.01.0710.12.10]
Edixon Manuel Rojas Santana (MSc): A Study of Singular Integral Operators with
Shift, xiv + 182 p., University of Aveiro.
Supervisor: Luís Castro.
Edixon Rojas Santana was supported by the scholarship SFRH/BD/30679/2006,
Fundação para a Ciência e a Tecnologia (Portugal).
[01.03.0709.06.2011] Alberto Manuel Tavares Simões (MSc): Problemas do tipo de Sommerfeld com
Condições de Fronteira de Ordem Superior, 197 p., University of Beira Interior.
Supervision of Luís Castro and co-supervision of Prof. António Bento (University of
Beira Interior), Portugal.
[01.10.0714.12.2011] Anabela de Sousa e Silva: Regularity of Wiener-Hopf plus Hankel operators, xvi +
177 p., University of Aveiro. Supervisor: Luís Castro.
Anabela Silva was supported by the scholarship SFRH/BD/38698/2007, da Fundação para a Ciência e a Tecnologia (Portugal).
17
Post-Doc Supervision
[15.10.0114.04.02]
Levan Sigua (I. Javakhishvili Tbilisi State University, Tbilisi, Georgia): Convolution Type Operators and Diraction Theory, UI&D Mathematics and Applications
scholarship. Supervisor: Luís Castro.
[01.09.0531.08.08]
David Kapanadze (Razmadze Mathematical Institute, Tbilisi, Georgia): Sommerfeld Type Diraction Problems with Real Wave Numbers, FCT scholarship. Supervisor: Luís Castro.
[01.07.0730.06.08]
Ekaterina Vladimirovna Pesetskaya (Belarusian State University, Mathematics and
Mechanics Faculty, Belarus): Mixed Boundary Value Problems for Multiply Connected Domains and their Applications to Composite Materials, FCT scholarship.
Supervisor: Luís Castro.
[01.03.12][31.12.12]
Anabela de Sousa e Silva, Convolution type operators and integral transforms in
variable exponent Lebesgue spaces, CIDMA scholarship. Supervisor: Luís Castro.
[01.05.11] present
Matteo Dalla Riva: Singular perturbation problems for equations and systems of differential equations, FCT scholarship (with number SFRH/BPD/64437/2009). Supervisor: Luís Castro.
Organization of Conferences and Workshops
[2005]
Main Organizer (Chairman) of Conference on Operator Theory, Function Spaces
and their Applications (dedicated to the 60th birthday of Professor F.-O. Speck),
Department of Mathematics, University of Aveiro, July 2005.
Invited talks by: J. Cerdà - Barcelona; M. Costabel - Rennes; R. Duduchava - Tbilisi;
S. Jaard - Paris; Yu. Karlovich - Mexico; V. Maz'ya - Linköping; D. Natroshvilli Tbilisi; S. Samko - Faro; B. Silbermann - Chemnitz; H. Triebel - Jena; H. Upmeier Marburg; W. L. Wendland - Stuttgart. Total number of conference participants: 90.
[2006]
Member of the Organizing Committee of Conference on Views on ODEs (in honor of
Professors Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday;
http://www.divp-proj.org), Department of Mathematics, University of Aveiro, June
2006. 50 communications and 76 participants in total.
[2010]
Main Organizer (Chairman) of First Annual Workshop of Functional Analysis and
Applications Group (May 2010; 16 participants), University of Aveiro.
[2009-10]
SS12. Integral Equations and their Applications
ICNPAA 2010 World Congress, INPE, São José dos Campos (SP), Brazil, June 30,
2010 July 3, 2010.
Session Organizers:
Luis Castro, Universidade de Aveiro, Aveiro, Portugal
Stefan Samko, Universidade do Algarve, Faro, Portugal
This section was devoted to integral equations and their applications to the areas
of the general scope of the conference. Special emphasis is put in the analysis of
properties of Fredholm, Volterra and singular integral equations including equations
generated by Wiener-Hopf, Toeplitz, Hankel and fractional order integral operators and their various applications. Talks presenting the use of integral equations
in the areas of aerodynamics, uid mechanics and wave diraction were especially
welcomed.
[2011]
Main Organizer (Chairman) of IDOTA2011: Integral and Dierential Operators
and Their Applications - An International Conference in Honour of Professor Stefan
Samko on the occasion of his 70th birthday, Departamento de Matemática, Universidade de Aveiro, June-July 2011 (http://idota2011.glocos.org).
18
Invited talks by: Martin Costabel (Université de Rennes 1, France); Roland Duduchava (Ivane Javakhishvili State University of Tbilisi, Georgia); George Hsiao (University of Delaware, USA); Vakhtang Kokilashvili (Georgian Academy of Sciences,
Georgia); Carlos Pérez (University of Seville, Spain); Lars-Erik Persson (Luleå University of Technology, Sweden); Ilya Spitkovsky (College of William and Mary, USA);
Vladimir Rabinovich (National Polytechnic Institute, Mexico); Wolfgang Wendland
(University of Stuttgart, Germany).
Total number of participants: 100.
Scientic Committee: Ravi P. Agarwal (Melbourne, USA); Luís Castro (Aveiro, Portugal); Martin Costabel (Rennes, France); Roland Duduchava (Tbilisi, Georgia);
António Ferreira dos Santos (Lisbon, Portugal); Paulo Jorge Ferreira (Aveiro, Portugal); George Hsiao (Delaware, USA); Vakhtang Kokilashvili (Tbilisi, Georgia); David
Natroshvili (Tbilisi, Georgia); Nikolaos Papageorgiou (Athens, Greece); Carlos Pérez
(Sevilla, Spain); Lars-Erik Persson (Luleå, Sweden); Gueorgui Smirnov (Braga, Portugal); Frank-Olme Speck (Lisbon, Portugal); Ilya Spitkovsky (Williamsburg, USA);
Saburou Saitoh (Aveiro, Portugal); Vasile Staicu (Aveiro, Portugal); Ioannis Stratis
(Athens, Greece); José Miguel Urbano (Coimbra, Portugal); Vladimir Rabinovich
(Mexico City, Mexico); Wolfgang L. Wendland (Stuttgart, Germany).
Organizing Committee: Alexandre Almeida; António Caetano; Luís Castro (Chairman); Ana Paula Nolasco; Humberto Rafeiro; Eugénio Rocha; Manuela Rodrigues;
Sandrina Santos; Frank-Olme Speck.
The topics of the conference included: Integral and Dierential Operators; Variable Exponent Analysis; Harmonic Analysis; Function Spaces; Nonlinear Analysis;
Factorization Theory; Boundary Value Problems and PDEs.
[2011]
Main Organizer (Chairman) of Second Annual Workshop of Functional Analysis and
Applications Group (October 2011; 17 participants), University of Aveiro.
[2012]
SS7. Integral Equations and Their Applications in Science and Technology
ICNPAA 2012 World Congress, Vienna University of Technology, Vienna, Austria;
July 10, 2012 - July 14, 2012.
Session Organizers:
Luis Castro (University of Aveiro, Aveiro, Portugal) and Jozef Banas (Rzeszów University of Technology, Poland)
The aim of the session was to discuss both the theory of integral equations and their
applications in engineering, mechanics, mathematical physics and so on. Special emphasis was considered on nonlinear integral equations, functional integral equations
and the systems of integral equations. We considered various topics of the theory
of those integral equations which have a wide range of applications. The theory of
fractional integral equations and their numerous applications was also included.
[2012]
Main Organizer (Chairman) of Third Annual Workshop of Functional Analysis and
Applications Group (October 2012; 20 participants), University of Aveiro.
[2013]
Main Organizer (Chairman) of the CIDMA2013 A meeting of the Center for
Research & Development in Mathematics and Applications (January 2013; 90 participants). This was a two days meeting and the rst of a series of yearly meetings
of the Research Center CIDMA, aimed to serve as a gathering point of all the members of this Center and where each of its groups selects a number of presentations
regarding the research carried out during the past year.
[2013]
Main Organizer (Chairman) of the CIDMA and Department of Mathematics of University of Aveiro Colloquium (May 2013; September 2013; November 2013).
[2013]
Main Organizer (Chairman) of Fourth Annual Workshop of Functional Analysis and
Applications Group (June 2013; 18 participants), University of Aveiro.
[2014]
Main Organizer (Chairman) of the CIDMA2014 A meeting of the Center for
Research & Development in Mathematics and Applications (January 2014). A two
days meeting. University of Aveiro.
19
[2014]
Main Organizer (Chairman) of the 5th Annual Workshop of Functional Analysis
and Applications Group devoted to the 70th birthday of Professor Saburou Saitoh
(May 24, 2014; 30 participants).
[2014]
Main Organizer (Chairman) of the WIMCSCIDMA Workshop The Wiener-Hopf
Technique and its Applications, to occur in June 2014, at University of Aveiro, as a
joint organization of WIMCS Wales Institute of Mathematical and Computational
Sciences and CIDMA Centro de Investigação e Desenvolvimento em Matemática
e Aplicações, Universidade de Aveiro.
[2014]
Co-organizer of the Special Session 1 (SS1): Integral Equations and Their Applications in Science and Technology in the ICNPAA 2014 World Congress, Narvik
University, Norway, July 2014.
Referee and Reviewer Services
[2002]present
Referee work for more than 20 dierent international Mathematical Journals.
[2005]present
Reviewer for Zentralblatt Math (EMS).
Cf. http://www.emis.de/ZMATH/ and the entries:
1. Zbl pre06302406
Maniccia, L.; Schrohe, E.; Seiler, J., Determinants of classical SG-pseudodierential
operators, Math. Nachr. 287, No. 7, 782-802 (2014).
2. Zbl pre06309432
Chmieli«ski, Jacek, Normed spaces equivalent to inner product spaces and stability of functional equations, Aequationes Math. 87, No. 1-2, 147-157 (2014).
3. Zbl pre06297930
Rabinovich, Vladimir, Diraction by periodic graphs, Complex Var. Elliptic
Equ. 59, No. 4, 578-598 (2014).
4. Zbl pre06286803
Shipman, Stephen P.; Welters, Aaron T., Resonant electromagnetic scattering
in anisotropic layered media, J. Math. Phys. 54, No. 10, 103511, 40 p. (2013).
5. Zbl pre06258903
Ito, Kazufumi; Jin, Bangti; Zou, Jun, A direct sampling method for inverse
electromagnetic medium scattering, Inverse Probl. 29, No. 9, Article ID 095018,
19 p. (2013).
6. Zbl pre06258886
Lakhal, A., KAIRUAIN-algorithm applied on electromagnetic imaging, Inverse
Probl. 29, No. 9, Article ID 095001, 18 p. (2013).
7. Zbl pre06256564
Böttcher, Albrecht; Halwass, Martin, A Newton method for canonical WienerHopf and spectral factorization of matrix polynomials, Electron. J. Linear
Algebra 26, 873-897 (2013).
8. Zbl pre06260869
Bellet, Jean-Baptiste; Berginc, Gérard, Modèle eectif de couche mince rugueuse
périodique sur une structure semi-innie, ESAIM, Math. Model. Numer.
Anal. 47, No. 5, 1367-1386 (2013).
9. Zbl pre06258904
Alqadah, H.F.; Valdivia, N., A frequency based constraint for a multi-frequency
linear sampling method, Inverse Probl. 29, No. 9, Article ID 095019, 27 p.
(2013).
10. Zbl pre06269464
Bommier-Hato, Hélène; Engli², Miroslav; Youss, El-Hassan, Dixmier trace and
the Fock space, Bull. Sci. Math. 138, No. 2, 199-224 (2014).
20
11. Zbl pre06269420
Li, Hao; Li, Songxiao, Norm of an integral operator on some analytic function
spaces on the unit disk, J. Inequal. Appl. 2013, Article ID 342, 7 p., electronic
only (2013).
12. Zbl pre06243131
Jollivet, Alexandre, On inverse scattering at xed energy for the multidimensional Newton equation in a non-compactly supported eld, J. Inverse Ill-Posed
Probl. 21, No. 6, 713-734 (2013).
13. Zbl pre06153566
Karlovich, Yuri I.; Hernández, Iván Loreto, On convolution type operators with
piecewise slowly oscillating data, Karlovich, Yuri I. (ed.) et al., Operator theory, pseudo-dierential equations, and mathematical physics. The Vladimir
Rabinovich anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-03480536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Applications 228, 185-207 (2013).
14. Zbl pre06249809
Ehrhardt, Torsten; Spitkovsky, Ilya M., On the kernel and cokernel of some
Toeplitz operators, Kaashoek, Marinus A. (ed.) et al., Advances in structured
operator theory and related areas. The Leonid Lerer anniversary volume on
the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-30348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and
Applications 237, 127-144 (2013).
15. Zbl pre06243001
Qin, Hai-Hua; Liu, Ji-Chuan, Reconstruction for cavities with impedance boundary condition, J. Integral Equations Appl. 25, No. 3, 431-454 (2013).
16. Zbl 06200801
Ambrose, David M.; Moskow, Shari, Scattering of electromagnetic waves by
thin high contrast dielectrics: eects of the object boundary, Commun. Math.
Sci. 11, No. 1, 293-314 (2013).
MSC2010: 78A45 34E05 45E99
17. Zbl pre06198334
Lechleiter, Armin; Nguyen, Dinh-Liem, On uniqueness in electromagnetic scattering from biperiodic structures, ESAIM, Math. Model. Numer. Anal. 47,
No. 4, 1167-1184 (2013).
MSC2010: 78A45 35A02 47A53
18. Zbl pre06198189
Lin, Huimin; Xu, Zhenli; Tang, Huazhong; Cai, Wei, Image approximations
to electrostatic potentials in layered electrolytes/dielectrics and an ion-channel
model, J. Sci. Comput. 53, No. 2, 249-267 (2012).
MSC2010: 78A57 78A30 78A48 93B30
19. Zbl pre06163455
Smith, J.Torquil; Berryman, James G., Time-reversal of electromagnetic scattering for small scatterer classication, Inverse Probl. 28, No. 12, Article ID
125011, 24 p. (2012).
MSC2010: 78A46 78A50 78M25 78A45 65F20
20. Book
Zbl pre06059088
Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy, Singular Traces. Theory and
Applications. de Gruyter Studies in Mathematics 46. Berlin: de Gruyter. xvi,
452 p., 2013.
MSC2000: *47-02 47L20 46L85
21. Zbl pre06149158
Böttcher, Albrecht; Spitkovsky, Ilya M., The factorization problem: some known
results and open questions, Almeida, Alexandre (ed.) et al., Advances in Harmonic Analysis and Operator Theory. The Stefan Samko anniversary volume
21
on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 978-3-03480515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 101-122 (2013). MSC2010: 47A68 30E25 43A75 45F15 47B35
22. Zbl pre06126065
Gallier, Jean; Xu, Dianna; Siqueira, Marcelo, Parametric pseudo-manifolds,
Dier. Geom. Appl. 30, No. 6, 702-736 (2012).
23. Zbl pre06140839
Lechleiter, Armin; Nguyen, Dinh-Liem, Volume integral equations for scattering
from anisotropic diraction gratings, Math. Methods Appl. Sci. 36, No. 3, 262274 (2013).
24. Zbl pre06144448
Górka, Przemysªaw; Kostrzewa, Tomasz; Reyes, Enrique G., The Rellich lemma
on compact abelian groups and equations of innite order, Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220030, 11 p. (2013).
25. Zbl pre06128303
Statkevych, V.M., Investigation of solutions of boundary-value problems with
essentially innite-dimensional elliptic operator, Ukr. Math. J. 64, No. 2,
262-272 (2012).
26. BOOK
Zbl pre06043131
Li, Jun-Chang; Picart, Pascal, Numerical Holography. Principle, algorithms
and applications. Paris: Hermes; Paris: Lavoisier (ISBN 978-2-7462-32006/pbk), 378 p., 2012.
27. Zbl pre06064786
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B., High frequency scattering by a
classically invisible body, SIAM J. Appl. Math. 72, No. 2, 646-669 (2012).
28. Zbl 1244.34082
Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, On
semilinear integro-dierential equations with nonlocal conditions in Banach
spaces, Abstr. Appl. Anal. 2012, Article ID 137576, 26 p. (2012).
29. Zbl pre06054098
Qiao, Yu; Nistor, Victor, Single and double layer potentials on domains with
conical points. I: Straight cones, Integral Equations Oper. Theory 72, No. 3,
419-448 (2012).
30. Zbl pre06093123
Chepoi, Victor; Maftuleac, Daniela, Shortest path problem in rectangular complexes of global nonpositive curvature, Comput. Geom. 46, No. 1, 51-64 (2013).
31. Zbl pre06028392
Jorgensen, Palle E.T.: Ergodic scales in fractal measures, Math. Comput. 81,
No. 278, 941-955 (2012).
32. Zbl pre06034839
Recio, Tomas; Sendra, J.Rafael; Tabera, Luis Felipe; Villarino, Carlos: Algorithmic detection of hypercircles, Math. Comput. Simul. 82, No. 1, 54-67
(2011).
33. Zbl pre06036560
Dumitrescu, Adrian: Going around in circles, Comput. Geom. 45, No. 7,
370-381 (2012).
34. Zbl pre06030218
Li, Nan; Zhi, Lihong: Computing isolated singular solutions of polynomial
systems: case of breadth one, SIAM J. Numer. Anal. 50, No. 1, 354-372
(2012).
35. Zbl pre06031628
Xiong, Xiangtuan; Zhu, Liqin; Li, Ming: Regularization methods for a problem
of analytic continuation, Math. Comput. Simul. 82, No. 2, 332-345 (2011).
22
36. Zbl pre06005602
Abanin, A.V.; Ishimura, R.; Le Hai Khoi: Extension of solutions of convolution
equations in spaces of holomorphic functions with polynomial growth in convex
domains, Bull. Sci. Math. 136, No. 1, 96-110 (2012).
37. Zbl pre06008782
Ouedraogoo, Marie-Françoise; Paycha, Sylvie: The multiplicative anomaly for
determinants revisited, Commun. Math. Anal. 12, No. 1, 28-63, electronic
only (2012).
38. Zbl pre05966256
Galvis, Juan; Versieux, Henrique: Introduction to the numerical approximation of partial dierential equations via the nite-element method. 28th Brazilian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 Publicações
Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura
e Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).
39. Zbl pre06126065
Gallier, Jean; Xu, Dianna; Siqueira, Marcelo, Parametric pseudo-manifolds,
Dier. Geom. Appl. 30, No. 6, 702-736 (2012).
40. Zbl pre06140839
Lechleiter, Armin; Nguyen, Dinh-Liem, Volume integral equations for scattering
from anisotropic diraction gratings, Math. Methods Appl. Sci. 36, No. 3, 262274 (2013).
41. Zbl pre06144448
Górka, Przemysªaw; Kostrzewa, Tomasz; Reyes, Enrique G., The Rellich lemma
on compact abelian groups and equations of innite order, Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220030, 11 p. (2013).
42. Zbl pre06128303
Statkevych, V.M., Investigation of solutions of boundary-value problems with
essentially innite-dimensional elliptic operator, Ukr. Math. J. 64, No. 2,
262-272 (2012).
43. BOOK
Zbl pre06043131
Li, Jun-Chang; Picart, Pascal, Numerical Holography. Principle, algorithms
and applications. Paris: Hermes; Paris: Lavoisier (ISBN 978-2-7462-32006/pbk), 378 p., 2012.
44. Zbl pre06064786
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B., High frequency scattering by a
classically invisible body, SIAM J. Appl. Math. 72, No. 2, 646-669 (2012).
45. Zbl 1244.34082
Tran Dinh Ke; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, On
semilinear integro-dierential equations with nonlocal conditions in Banach
spaces, Abstr. Appl. Anal. 2012, Article ID 137576, 26 p. (2012).
46. Zbl pre06054098
Qiao, Yu; Nistor, Victor, Single and double layer potentials on domains with
conical points. I: Straight cones, Integral Equations Oper. Theory 72, No. 3,
419-448 (2012).
47. Zbl pre06093123
Chepoi, Victor; Maftuleac, Daniela, Shortest path problem in rectangular complexes of global nonpositive curvature, Comput. Geom. 46, No. 1, 51-64 (2013).
48. Zbl pre06028392
Jorgensen, Palle E.T.: Ergodic scales in fractal measures, Math. Comput. 81,
No. 278, 941-955 (2012).
49. Zbl pre06034839
Recio, Tomas; Sendra, J.Rafael; Tabera, Luis Felipe; Villarino, Carlos: Algorithmic detection of hypercircles, Math. Comput. Simul. 82, No. 1, 54-67
(2011).
23
50. Zbl pre06036560
Dumitrescu, Adrian: Going around in circles, Comput. Geom. 45, No. 7,
370-381 (2012).
51. Zbl pre06030218
Li, Nan; Zhi, Lihong: Computing isolated singular solutions of polynomial
systems: case of breadth one, SIAM J. Numer. Anal. 50, No. 1, 354-372
(2012).
52. Zbl pre06031628
Xiong, Xiangtuan; Zhu, Liqin; Li, Ming: Regularization methods for a problem
of analytic continuation, Math. Comput. Simul. 82, No. 2, 332-345 (2011).
53. Zbl pre06005602
Abanin, A.V.; Ishimura, R.; Le Hai Khoi: Extension of solutions of convolution
equations in spaces of holomorphic functions with polynomial growth in convex
domains, Bull. Sci. Math. 136, No. 1, 96-110 (2012).
54. Zbl pre06008782
Ouedraogoo, Marie-Françoise; Paycha, Sylvie: The multiplicative anomaly for
determinants revisited, Commun. Math. Anal. 12, No. 1, 28-63, electronic
only (2012).
55. Zbl pre05966256
Galvis, Juan; Versieux, Henrique: Introduction to the numerical approximation of partial dierential equations via the nite-element method. 28th Brazilian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 Publicações
Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura
e Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).
56. Book
Zbl pre05966256
Galvis, Juan; Versieux, Henrique: Introduction to the numerical approximation of partial dierential equations via the nite-element method. 28th Brazilian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011 Publicações
Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura
e Aplicada (IMPA) (ISBN 978-85-244-0325-5). 91 p. (2011).
57. Zbl pre06012139
Tang, Lin: Weighted norm inequalities for pseudo-dierential operators with
smooth symbols and their commutators J. Funct. Anal. 262, No. 4, 1603-1629
(2012).
58. Zbl pre06005518
Viola, Joe: Resolvent estimates for non-selfadjoint operators with double characteristics J. Lond. Math. Soc., II. Ser. 85, No. 1, 41-78 (2012).
59. Zbl pre05998299
Palamodov, V.P.: An analytic reconstruction for the Compton scattering tomography in a plane Inverse Probl. 27, No. 12, Article ID 125004, 8 p. (2011).
60. Zbl pre05998575
Baryshev, A.V.; Eremin, Yu.A.: Justication of integral representations for
elds in a diraction problem on a cluster of particles in a plane-layered medium
Dier. Equ. 47, No. 9, 1297-1306 (2011); translation from Dier. Uravn. 47,
No. 9, 12841293 (2011).
61. Zbl pre05988412
Grubb, Gerd: Kren-like extensions and the lower boundedness problem for
elliptic operators J. Dier. Equations 252, No. 2, 852-885 (2012).
62. Zbl pre05990127
Emmanouil, Panagiotis: The direct scattering problem: uniqueness and existence for anisotropic media Q. Appl. Math. 69, No. 4, 747-758 (2011).
63. Zbl 1227.65044
Zheng, Quan; Li, Jingya; Huang, Fengxi: An optimal Steensen-type family
24
for solving nonlinear equations. (English) Appl. Math. Comput. 217, No. 23,
9592-9597 (2011). MSC2000: *65H05, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
64. Zbl 1227.65042
Dehghan, Mehdi; Hajarian, Masoud: On some cubic convergence iterative formulae without derivatives for solving nonlinear equations. (English) Int. J.
Numer. Methods Biomed. Eng. 27, No. 5, 722-731 (2011). MSC2000: *65H05,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
65. Zbl 1227.42026
Signahl, Mikael; Toft, Joachim: Remarks on mapping properties for the Bargmann
transform on modulation spaces. (English) Integral Transforms Spec. Funct.
22, No. 4-5, 359-366 (2011). MSC2000: *42B35 44A15 44A20, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
66. Zbl 1227.42001
Milovanovic, G.V.; Cvetkovic, A.S.; Stanic, M.P.: Moment functional and orthogonal trigonometric polynomials of semi-integer degree. (English) J. Comput. Anal. Appl. 13, No. 5, 907-922 (2011). MSC2000: *42A05 42C05 42C15,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
67. Zbl 1225.47055
Bishop, Shannon: Schatten class Fourier integral operators. (English) Appl.
Comput. Harmon. Anal. 31, No. 2, 205-217 (2011). MSC2000: *47G30 47B10
42C15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
68. Zbl 1219.35148
Derks, Gianne; Sasane, Sara Maad; Sandstede, Björn: Perturbations of embedded eigenvalues for the planar bilaplacian. (English) J. Funct. Anal. 260,
No. 2, 340-398 (2011). MSC2000: *35P05 35J30 35B65, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
69. Zbl pre05970155
El Badia, Abdellatif; Nara, Takaaki An inverse source problem for Helmholtz's
equation from the Cauchy data with a single wave number. (English) Inverse
Probl. 27, No. 10, Article ID 105001, 15 p. (2011). MSC2000: *35R30 35J05,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
70. Zbl pre05963635
Romanov, V.G.: A stability estimate for a solution to an inverse problem of
electrodynamics. (English. Russian original) Sib. Math. J. 52, No. 4, 682-695
(2011); translation from Sib. Mat. Zh. 52, No. 4, 861875 (2011). MSC2000:
*78A40 45Q05 45K05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
71. Zbl pre05919175
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Haddar, Houssem: On the use
of T -coercivity to study the interior transmission eigenvalue problem. (English.
Abridged French version) C. R., Math., Acad. Sci. Paris 349, No. 11-12, 647651 (2011). MSC2000: *35P25 35J05 35Q60, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
72. Zbl 1221.35110
Gadyl'shin, R.R.: On regular and singular perturbations of the eigenelements
of the Laplacian. (English) Constanda, C. (ed.) et al., Integral methods in
science and engineering. Volume 1: Analytic methods. Papers presented at the
10th international conference on integral methods in science and engineering
(IMSE 2008), Santander, Spain, July 710, 2008. Basel: Birkhäuser. 135-148
(2010). MSC2000: *35J05 35B20 35B25, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
73. Zbl 1220.78109
Rozanova-Pierrat, A.: Perturbative numeric approach in microwave imaging.
(English) Appl. Anal. 89, No. 12, 1855-1877 (2010). MSC2000: *78A70 31B20
31A25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
25
74. Zbl 1220.35011
Lobo, M.; Pérez, M.E.: On dierent quasimodes for the homogenization of
Steklov-type eigenvalue problems. (English) Constanda, C. (ed.) et al., Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 710, 2008. Basel:
Birkhäuser. 193-204 (2010). MSC2000: *35B27 34G10 35J25, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
75. Zbl 1205.78024
Lechleiter, Armin; Ritterbusch, Sebastian: A variational method for wave scattering from penetrable rough layers. (English) IMA J. Appl. Math. 75, No.
3, 366-391 (2010). MSC2000: *78A45 78M30 35P25, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
76. Zbl 1205.78025
Pernet, Sébastien: A well-conditioned integral equation for iterative solution of
scattering problems with a variable Leontovitch boundary condition. (English)
ESAIM, Math. Model. Numer. Anal. 44, No. 4, 781-801 (2010). MSC2000:
*78A45 65R20 15A12, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
77. Zbl 1203.35272
Kachmar, Ayman: Magnetic vortices for a Ginzburg-Landau type energy with
discontinuous constraint. (English) ESAIM, Control Optim. Calc. Var. 16,
No. 3, 545-580 (2010). MSC2000: *35Q56 35J60 35J20, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
78. Book
Zbl 1204.42002
Corcho Fernandez, Adán J.; Cavalcante, Marcos Petrúcio de A.: Introduction to
harmonic analysis and applications (in Portuguese). Publicações Matemáticas
do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada
(IMPA). 118 p. (2009). MSC2000: *42-01 42Axx, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
79. Zbl 1196.35238
Albanese, Angela Ama; Popivanov, Petar; Zanghirati, Luisa: Prescribing Gevrey
singularities for solutions of pseudodierential operators. (English) J. Math.
Kyoto Univ. 49, No. 2, 287-306 (2009). MSC2000: *35S05 35D30 35A18,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
80. Zbl 1193.35023
Gkikas, Konstantinos T.: Existence and nonexistence of energy solutions for linear elliptic equations involving Hardy-type potentials. (English) Indiana Univ.
Math. J. 58, No. 5, 2317-2346 (2009). MSC2000: *35J15 35A01 26D10, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
81. Zbl 1191.47090
Kochubei, Anatoly N.: On a p-adic wave equation. (English. Russian original)
Proc. Steklov Inst. Math. 265, 143-147 (2009); translation from Tr. Mat. Inst.
Steklova 265, 154-158 (2009). MSC2000: *47S10 35S10 11S80, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
82. Zbl 1191.47044
Novitskii, Igor M.: Integral representations of unbounded operators by innitely
smooth bi-Carleman kernels. (English) Int. J. Pure Appl. Math. 54, No.
3, 359-374 (2009). MSC2000: *47B38 47G10 45P05, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
83. Zbl 1189.47080
Curtain, Ruth F.; Opmeer, Mark R.: State space formulas for a solution of the
suboptimal Nehari problem on the unit disc. (English) Integral Equations Oper.
Theory 64, No. 1, 35-59 (2009). MSC2000: *47N70 93C25 47B35, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
26
84. Book
Zbl 1183.35001
Ebert, Marcelo Rempel; dos Santos Filho, José Ruidival: The Cauchy problem
for partial dierential operators (in Portuguese). Publicações Matemáticas do
IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada
(IMPA). ii, 155 p. (2009). MSC2000: *35-02 35G05 35A10, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
85. Zbl 1180.78028
Olshansky, Yaakov; Ramm, Alexander G.: Finding the position of a small body
in the presence of a large body from scattering data. (English) Inverse Probl.
Sci. Eng. 17, No. 5, 701-714 (2009). MSC2000: *78A46 81U40, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
86. Zbl 1180.47022
Wang, Xiaofeng; Xia, Jin; Cao, Guangfu: Trace class Toeplitz operators on
Dirichlet space with unbounded symbols. (English) Indian J. Pure Appl. Math.
40, No. 1, 21-28 (2009). MSC2000: *47B35 47B10, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
87. Zbl 1176.47006
Sandovici, Adrian: On a Kren criterion. (English) Behrndt, Jussi (ed.) et
al., Spectral theory in inner product spaces and applications. Papers of the
6th workshop on operator theory in Krein spaces and operator polynomials,
TU Berlin, Germany, December 1417, 2006. Basel: Birkhäuser. Operator
Theory: Advances and Applications 188, 237-243 (2009). MSC2000: *47A06
47A20 47B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
88. Zbl 1175.47042
El-Gebeily, Mohamed; O'Regan, Donal: A characterization of self-adjoint operators determined by the weak formulation of second-order singular dierential
expressions. (English) Glasg. Math. J. 51, No. 2, 385-404 (2009). MSC2000:
*47E05 34B24 47B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
89. Zbl 1171.47023
Lee, Young Joo: Finite sums of Toeplitz products on the Dirichlet space. (English) J. Math. Anal. Appl. 357, No. 2, 504-515 (2009). MSC2000: *47B35
32A36, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
90. Zbl 1169.47012
Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem: A simple proof of the
matrix-valued FejérRiesz theorem. (English) J. Fourier Anal. Appl. 15, No.
1, 124-127 (2009). MSC2000: *47A68 15A23, Reviewer: Luis Filipe Pinheiro
de Castro (Aveiro)
91. Zbl 1169.47017
Bauer, Wolfram: BerezinToeplitz quantization and composition formulas. (English) J. Funct. Anal. 256, No. 10, 3107-3142 (2009). MSC2000: *47B35 42B30
46L65, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
92. Zbl 1169.47013
Shin, Chang Eon; Sun, Qiyu: Stability of localized operators. (English) J.
Funct. Anal. 256, No. 8, 2417-2439 (2009). MSC2000: *47A99 47B37 47B48,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
93. Zbl 1151.47037
Suciu, Laurian; Suciu, Nicolae: Asymptotic behaviours and generalized Toeplitz
operators. (English) J. Math. Anal. Appl. 349, No. 1, 280-290 (2009).
MSC2000: *47B35 47A65 47A20, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
94. Zbl 1201.47031
Karlovich, Yu.I.; Hernández, J.Loreto: Wiener-Hopf operators with semi-almost
periodic matrix symbols on weighted Lebesgue spaces. (English) Integral Equations Oper. Theory 62, No. 1, 85-128 (2008). MSC2000: *47B35 42A75 47A53,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
27
95. Zbl 1201.47032
Papadimitrakis, M.; Virtanen, J.A.: Hankel and Toeplitz transforms on H 1 :
continuity, compactness and Fredholm properties. (English) Integral Equations
Oper. Theory 61, No. 4, 573-591 (2008). MSC2000: *47B35 30H10 47A53,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
96. Zbl 1172.47020
Arora, S.C.; Bhola, Jyoti: Essentially slant Hankel operators. (English) Bull.
Malays. Math. Sci. Soc. (2) 31, No. 2, 165-173 (2008). MSC2000: *47B35
47A20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
97. Zbl 1168.47008
Suciu, Laurian; Suciu, Nicolae: Ergodic conditions and spectral properties for
A-contractions. (English) Opusc. Math. 28, No. 2, 195-216 (2008). MSC2000:
*47A35 47A62 47A63, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
98. Zbl 1161.47022
Stevic, Stevo: On Libera-type transforms on the unit disc, polydisc and the unit
ball. (English) Integral Transforms Spec. Funct. 19, No. 11, 785-799 (2008).
MSC2000: *47B38 46E15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
99. Zbl 1161.47011
Boche, Holger; Pohl, Volker: Continuity versus boundedness of the spectral
factorization mapping. (English) Stud. Math. 189, No. 2, 131-145 (2008).
MSC2000: *47A68 30H05 46J10, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
100. Zbl 1158.47013
Câmara, M. Cristina; Malheiro, M. Teresa: Meromorphic factorization revisited
and application to some groups of matrix functions. (English) Complex Anal.
Oper. Theory 2, No. 2, 299-326 (2008). MSC2000: *47A68 47B35 15A23
15A60, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
101. Zbl 1151.47036
Harutyunyan, Anahit; Lusky, Wolfgang: Toeplitz operators on weighted spaces
of holomorphic functions. (English) Math. Scand. 103, No. 1, 40-52 (2008).
MSC2000: *47B35 30H05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
102. Zbl 1158.47031
Catan , Viorel: M -hypoelliptic pseudo-dierential operators on Lp (Rn ). (English) Appl. Anal. 87, No. 6, 657-666 (2008). MSC2000: *47G30 35S05 42A45
47A10 47A20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
103. Zbl 1155.47033
Sarason, Donald: Unbounded Toeplitz operators. (English) Integral Equations
Oper. Theory 61, No. 2, 281-298 (2008). MSC2000: *47B35 30D50, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
104. Zbl 1147.47033
Miana, Pedro J.: Algebra homomorphisms from cosine convolution algebras.
(English) Isr. J. Math. 165, 253-280 (2008). MSC2000: *47D09 26A33 43A20,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
105. Zbl 1146.78002
Duplij, Steven; Goldin, Gerald A.; Shtelen, Vladimir M.: Generalizations of
nonlinear and supersymmetric classical electrodynamics. (English) J. Phys. A,
Math. Theor. 41, No. 30, Article ID 304007, 11 p. (2008). MSC2000: *78A25
78A99 00A79, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
106. Zbl 1206.78016
Germain, Pierre: Finite energy scattering for the Lorentz-Maxwell equation.
(English) Ann. Henri Poincaré 9, No. 5, 927-943 (2008). MSC2000: *78A35
78A25 78A45, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
107. Zbl 1155.47040
Gal, Ciprian G.; Gal, Sorin G.; Goldstein, Jerome A.: Evolution equations
28
with real time variable and complex spatial variables. (English) Complex Var.
Elliptic Equ. 53, No. 8, 753-774 (2008). MSC2000: *47D03 47D06 47D60,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
108. Zbl 1144.42004
Tarulli, Mirko; Wilson, J.Michael: On a Calderón-Zygmund commutator-type
estimate. (English) J. Math. Anal. Appl. 347, No. 2, 621-632 (2008). MSC2000:
*42B20 42B15 42B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
109. Zbl 1154.47025
Wu, Zhijian; Zhao, Ruhan; Zorboska, Nina: Toeplitz operators on analytic
Besov spaces. (English) Integral Equations Oper. Theory 60, No. 3, 435-449
(2008). MSC2000: *47B35 30H05 32A18, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
110. Zbl 1153.46027
Vänskä, S.; Taskinen, M.: Domain dependent Dirac's delta and derivatives with
an application to electromagnetic boundary integral representations. (English)
J. Math. Anal. Appl. 344, No. 1, 546-556 (2008). MSC2000: *46F99 35J05
78A25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
111. Zbl 1189.47026
Das, Namita: Little Hankel operators and inner functions. (English) J. Int.
Acad. Phys. Sci. 11, 31-39 (2007). MSC2000: *47B35 47A05 42B35, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
112. Zbl 1145.47034
Gröchenig, Karlheinz; Strohmer, Thomas: Pseudodierential operators on locally compact Abelian groups and Sjöstrand's symbol class. (English) J. Reine
Angew. Math. 613, 121-146 (2007). MSC2000: *47G30 35S05 43A70, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
113. Zbl 1142.35089
Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin: Semiclassical focusing
nonlinear Schrödinger equation. I: Inverse scattering map and its evolution for
radiative initial data. (English) Int. Math. Res. Not. 2007, No. 22, Article ID
rnm094, 54 p. (2007). MSC2000: *35Q55 35P25 35Q15, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
114. Zbl 1141.47024
Lacey, Michael T.: Lectures on Nehari's theorem on the polydisk. (English)
Contemporary Mathematics 444, 185-213 (2007). MSC2000: *47B35 42B35
42B25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
115. Zbl 1141.47025
Lo, Min-Lin: The Bargmann transform and windowed Fourier localization. (English) Integral Equations Oper. Theory 57, No. 3, 397-412 (2007). MSC2000:
*47B35 42C40 81R30, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
116. Zbl 1140.78006
Hannay, J.H.: Radiative transfer: exact Rayleigh scattering series and a formula
for daylight. (English) Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463,
No. 2086, 2729-2751 (2007). MSC2000: *78A45 85A25 85A99, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
117. Zbl 1136.78009
Liondas, C.A.; Chrissoulidis, D.P.: On the singularity of Green's tensor for a
perfectly conducting semi-innite cone. (English) Q. J. Mech. Appl. Math. 60,
No. 3, 275-287 (2007). MSC2000: *78A45 35J05 78A25, Reviewer: Luis Filipe
Pinheiro de Castro (Aveiro)
118. Zbl 1123.78002
Athanasiadis, Christodoulos; Tsitsas, Nikolaos L.: Electromagnetic scattering
theorems for interior dipole excitation of a layered obstacle. (English) Math.
29
Methods Appl. Sci. 30, No. 12, 1467-1482 (2007). MSC2000: *78A25 35P25
78A40, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
119. Zbl 1123.78008
Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.: Asymptotically precise
norm estimates of scattering from a small circular inhomogeneity. (English)
Appl. Anal. 86, No. 4, 433-458 (2007). MSC2000: *78A45 35J05 78A25,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
120. Zbl 1122.47026
Shargorodsky, Eugene: A remark on the essential spectra of Toeplitz operators with bounded measurable coecients. (English) Integral Equations Oper.
Theory 57, No. 1, 127-132 (2007). MSC2000: *47B35 47G10 45E05, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
121. Zbl 1120.47035
Aksoy, Ü.; Çelebi, A.O.: Norm estimates of a class of CalderonZygmund type
strongly singular integral operators. (English) Integral Transforms Spec. Funct.
18, No. 1-2, 87-93 (2007). MSC2000: *47G10 47B38 30G20, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
122. Zbl 1118.78007
Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin: The mathematics of
scattering by unbounded, rough, inhomogeneous layers. (English) J. Comput.
Appl. Math. 204, No. 2, 549-559 (2007). MSC2000: *78A45 35J20 35J05,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
123. Zbl 1111.78008
Viskanta, R.; Tseng, C.C.: Spectral radiation characteristics of water sprays.
(English) Combust. Theory Model. 11, No. 1, 113-125 (2007). MSC2000:
*78A45, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
124. Zbl 1107.47033
Cordero, Elena; Okoudjou, Kasso A.: Multilinear localization operators. (English) J. Math. Anal. Appl. 325, No. 2, 1103-1116 (2007). MSC2000: *47G30
47H60 35S05, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
125. Zbl 1177.78023
Gusev, V.G.: Spatial ltering of the diractional eld of a double-exposure
hologram of a focused scatterer image. II. (English. Russian original) Russ.
Phys. J. 50, No. 10, 1046-1055 (2007); translation from Izv. Vyssh. Uchebn.
Zaved., Fiz. 50, No. 10, 7885 (2007). MSC2000: *78A45, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
126. Zbl 1152.47009
Spies, Ruben D.; Temperini, Karina G.: On the non convergence of the least
squares method in the case of innite dimension (in Spanish), Maciel, M. C.
(ed.) et al., 3rd conference on dierential equations, optimization and numerical analysis, Bahia Blanca, Argentina, March 910, 2006. Rosario: Universidad
Austral, Departamento de Matemática. MAT. Serie A: Conferencias, Seminarios y Trabajos de Matemática 14, 31-34 (2007). MSC2000: *47A52 47A99
65J20, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
127. Zbl 1152.47034
Dasgupta, Aparajita; Wong, M.W.: Weyl transforms and the inverse of the
sub-Laplacian on the Heisenberg group. (English) Rodino, Luigi (ed.) et al.,
Pseudo-dierential operators. Partial dierential equations and time-frequency
analysis. Selected papers of the ISAAC workshop, Toronto, Canada, December
1115, 2006. Providence, RI: American Mathematical Society (AMS); Toronto:
The Fields Institute for Research in Mathematical Sciences. Fields Institute
Communications 52, 27-36 (2007). MSC2000: *47F05 35H20 47G30, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
30
128. Zbl 1152.47035
Sato, Shuichi: Non-regular pseudo-dierential operators on the weighted Triebel-Lizorkin spaces. (English) Tohoku Math. J. (2) 59, No. 3, 323-339 (2007).
MSC2000: *47G30 35S05 42B20, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
129. Zbl 1136.47032
Prasad, Akhilesh: Pseudo-dierential operator involving Hankel translation and
Hankel convolution on some Gevrey spaces. (English) J. Indian Math. Soc., New
Ser. 73, No. 3-4, 153-165 (2006). MSC2000: *47G30 35S05 44A15, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
130. Zbl 1135.78016
Zohdi, T.I.: Computation of the coupled thermo-optical scattering properties
of random particulate systems. (English) Comput. Methods Appl. Mech. Eng.
195, No. 41-43, 5813-5830 (2006); Erratum 196, No. 1-3, 716 (2006). MSC2000:
*78M25 78A45 78A46, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
131. Zbl 1135.78012
Darbas, Marion: Generalized combined eld integral equations for the iterative
solution of the three-dimensional Maxwell equations. (English) Appl. Math.
Lett. 19, No. 8, 834-839 (2006). MSC2000: *78M15 65R20 35C15, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
132. Zbl 1133.47054
Chanzy, Jean: Inverse of the discrete Laplacian in the two-dimensional PoissonDirichlet problem on a rectangle. (Inverse du Laplacien discret dans le problème
de Poisson-Dirichlet à deux dimensions sur un rectangle.) (French) Ann. Fac.
Sci. Toulouse, Math. (6) 15, No. 3, 485-552 (2006). MSC2000: *47N20 47B35
35C10, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
133. Zbl 1124.47030
Rabinovich, Vladimir S.; Roch, Steen: The Fredholm property of pseudodifferential operators with non-smooth symbols on modulation spaces. (English)
Operator Theory: Advances and Applications 171, 259-280 (2006). MSC2000:
*47G30 35S05 47A53, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
134. Zbl 1124.42012
Chen, Jiecheng; Ding, Yong; Fan, Dashan: Littlewood-Paley operators with
variable kernels. (English) Sci. China, Ser. A 49, No. 5, 639-650 (2006).
MSC2000: *42B25 42B20 44A15, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
135. Zbl 1118.47019
Lin, Yan; Lu, Shanzhen: Toeplitz operators related to strongly singular CalderónZygmund operators. (English) Sci. China, Ser. A 49, No. 8, 1048-1064
(2006). MSC2000: *47B35 42B20 47G10, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
136. Zbl 1118.47017
Cao, Guangfu: Toeplitz operators on connected domains. (English) Sci. China,
Ser. A 49, No. 6, 827-837 (2006). MSC2000: *47B35 47A53 47L80, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
137. Zbl 1110.46025
Yang, Shanshuang: A Sobolev extension domain that is not uniform. (English) Manuscr. Math. 120, No. 2, 241-251 (2006). MSC2000: *46E35 30C65,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
138. Zbl 1110.46019
Chua, Seng-Kee: Extension theorems on weighted Sobolev spaces and some
applications. (English) Can. J. Math. 58, No. 3, 492-528 (2006). MSC2000:
*46E35, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
31
139. Zbl 1102.47038
Wong, M.W.: M -elliptic pseudo-dierential operators on Lp (Rn ). (English)
Math. Nachr. 279, No. 3, 319-326 (2006). MSC2000: *47G30 35S05 42A45,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
140. Zbl 1101.47015
Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E.: On the asymptotic behavior
of the eigenvectors of large banded Toeplitz matrices. (English) Math. Nachr.
279, No. 1-2, 121-129 (2006). MSC2000: *47B35 15A18 47N40, Reviewer: Luis
Filipe Pinheiro de Castro (Aveiro)
141. Book
Zbl 1099.78008
Cakoni, Fioralba; Colton, David: Qualitative methods in inverse scattering
theory. An introduction. (English) Interaction of Mechanics and Mathematics.
Berlin: Springer. viii, 227 p. (2006). MSC2000: *78A46 35R30 35-01, Reviewer:
Luis Filipe Pinheiro de Castro (Aveiro)
142. Zbl pre05030853
Shakhmurov, Veli B.: Maximal B-regular boundary value problems with parameters. (English) J. Math. Anal. Appl. 320, No. 1, 1-19 (2006). MSC2000:
*35J40 34G10 35J70, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
143. Zbl 1146.35031
Mikhailov, Sergey E.: Analysis of united boundary-domain integro-dierential
and integral equations for a mixed BVP with variable coecient. (English)
Math. Methods Appl. Sci. 29, No. 6, 715-739 (2006). MSC2000: *35J25 47G20
47G10, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
144. Zbl 1124.35086
Starynkévitch, Jean: Local energy estimates for the Maxwell-Landau-Lifshitz
system and applications. (English) J. Hyperbolic Dier. Equ. 2, No. 3, 565594 (2005). MSC2000: *35Q60 78A25 35B45, Reviewer: Luis Filipe Pinheiro
de Castro (Aveiro)
145. Zbl 1106.78007
Delitsyn, A.L.: A diraction problem for electromagnetic eld in free space.
(English. Russian original) Dier. Equ. 41, No. 7, 923-931 (2005); translation
from Dier. Uravn. 41, No. 7, 881-888 (2005). MSC2000: *78A45 35Q60,
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
146. Zbl 1104.65126
Khapaev, M.M.jun.: Numerical solution of an integro-dierential equation for
a sheet current. (English. Russian original) Dier. Equ. 41, No. 7, 1019-1024
(2005); translation from Dier. Uravn. 41, No. 7, 970-974 (2005). MSC2000:
*65R20 78A25 78M15, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
147. Zbl 1099.47026
Basor, Estelle L.; Ehrhardt, Torsten: On the asymptotics of certain Wiener
Hopf-plus-Hankel determinants. (English) New York J. Math. 11, 171-203
(2005). MSC2000: *47B35 47G10 15A15, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
148. Zbl 1094.47039
Böttcher, Albrecht; Otte, Peter: The rst Szegö limit theorem for non-selfadjoint operators in the Følner algebra. (English) Math. Scand. 97, No. 1, 115126 (2005). MSC2000: *47C15 46H35 47L80, Reviewer: Luis Filipe Pinheiro
de Castro (Aveiro)
149. Zbl 1092.47041
Johnsen, Jon: Domains of pseudo-dierential operators: a case for the TriebelLizorkin spaces. (English) J. Funct. Spaces Appl. 3, No. 3, 263-286 (2005).
MSC2000: *47G30 46E35, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
32
150. Zbl 1088.78001
Delitsyn, A.L.: A diraction problem in a waveguide. (English) Dier. Equ.
41, No. 3, 393-400 (2005); translation from Dier. Uravn. 41, No. 3, 375-381
(2005). MSC2000: *78A45 78A40, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
151. Zbl 1084.35102
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh: Generalized impedance
boundary conditions for scattering by strongly absorbing obstacles: the scalar
case. (English) Math. Models Methods Appl. Sci. 15, No. 8, 1273-1300 (2005).
MSC2000: *35Q60 35J25 78A45, Reviewer: Luis Filipe Pinheiro de Castro
(Aveiro)
152. Zbl 1083.47022
Bonami, Aline; Luo, Luo: On Hankel operators between Bergman spaces on the
unit ball. (English) Houston J. Math. 31, No. 3, 815-828 (2005). MSC2000:
*47B35 32A36, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
153. Zbl 1126.78009
Kriegsmann, G.A.: Complete transmission through a two-dimensional diraction grating. (English) SIAM J. Appl. Math. 65, No. 1, 24-42 (2004). MSC2000:
*78A45 78M35 35J25, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
154. Zbl 1088.78006
Van, Tri; Wood, Aihua: Finite element analysis of transient electromagnetic
scattering from 2D cavities. (English) Methods Appl. Anal. 11, No. 2, 221-236
(2004). MSC2000: *78M10 78A45 65M12, Reviewer: Luis Filipe Pinheiro de
Castro (Aveiro)
155. Zbl 1106.78302
Arrieta de Uzcátegui, Xiomara; Kalla, Shyam L.: Generalization of analytic
results associated with the radiation of a rectangular plate. (Spanish. English
summary) Sci., Ser. A, Math. Sci. (N.S.) 4, 5-14 (1991). MSC2000: *78A40
33C45 33C65, Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
[2007]present
Reviewer for MathSciNet - Mathematical Reviewers (AMS).
Cf. http://www.ams.org/mathscinet/ and the entries::
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2. MR3158777
Challa, Durga Prasad; Sini, Mourad: On the justication of the Foldy-Lax
approximation for the acoustic scattering by small rigid bodies of arbitrary
shapes. Multiscale Model. Simul. 12 (2014),
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Özdemir, Ismet: On monotonicity of the solutions of the linear Volterra integral
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109131. ISBN: 978-4-7625-0665-9 45D05
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Abbas, Saïd and Benchohra, Mouak: Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations,
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Lei, Yutian and Ma, Chao: Optimal integrability of some system of integral
equations, Front. Math. China 9 (2014), no. 1, 8191.
33
6. MR3098552
Grachev, N. V.; Maz'ya, V. G.: Solvability of a boundary integral equation on
a polyhedron, J. Math. Sci. (N. Y.) 191 (2013), no. 2, 193213. 45E05 (35J25)
7. MR3092599
Pawliuk, Peter; Yedlin, Matthew: Multiple scattering between cylinders in two
dielectric half-spaces. IEEE Trans. Antennas and Propagation 61 (2013), no.
8, 42204228. 78A45
8. MR3115094
Mennouni, Abdelaziz: The iterated projection method for integro-dierential
equations with Cauchy kernel. J. Appl. Math. Inform. 31 (2013), no. 5-6,
661667. 45J05 (45E05)
9. MR3111868
Matsunaga, Hideaki; Murakami, Satoru; Nagabuchi, Yutaka
Formal adjoint operators and asymptotic formula for solutions of autonomous
linear integral equations. J. Math. Anal. Appl. 410 (2014), no. 2, 807826.
45A05 (47A05)
10. MR3108482
Afonso, S. M.; Rontó, A., Measure functional dierential equations in the space
of functions of bounded variation. Abstr. Appl. Anal. 2013, Art. ID 582161, 8
pp. 45N05 (26A45, 34K05, 45G10)
11. MR3089217
Usami, Hiroyuki; Yoshimi, Takuro, The existence of solutions of integral equations related to inverse problems of quasilinear ordinary dierential equations.
Mem. Dierential Equations Math. Phys. 57 (2012), 163176. 45G05 (34A55)
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Christiansen, T. J., Inverse obstacle problems with backscattering or generalized
backscattering data in one or two directions. Asymptot. Anal. 81 (2013), no.
3-4, 315335. 78A46 (35J05 35P25 35Q60 35R30 78A25)
13. MR3049428
Qiao, Xing; Ma, Dan; Zheng, Fu; Zhu, Guangtian, The well-posedness and
stability analysis of a computer series system. J. Appl. Math. 2013, Article ID
131076, 9 p. (2013).
14. MR3031850
Zeng, Fang; Suarez, Pablo; Sun, Jiguang, A decomposition method for an interior inverse scattering problem. Inverse Probl. Imaging 7 (2013), no. 1,
291303. 45Q05 (31A10 65R32 76Q05)
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Kamotski, I. V.; Maz'ya, V. G., On the linear water wave problem in the
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Ke, Tran Dinh; Obukhovskii,
semilinear integro-dierential
spaces. Abstr. Appl. Anal.
34B10; 34G20; 34K30; 47H15;
34
Valeri; Wong, Ngai-Ching; Yao, Jen-Chih, On
equations with nonlocal conditions in Banach
2012, Art. ID 137576, 26 pp. 45J05; 34A12;
47N20
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Shipman, Stephen P.; Tu, Hairui, Total resonant transmission and reection by
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Zhang, Zhengce, Nonexistence of positive solutions of an integral system with
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Kalvin, Victor, Limiting absorption principle and perfectly matched layer method
for Dirichlet Laplacians in quasi-cylindrical domains, SIAM J. Math. Anal. 44
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23. MR2888293
Bao, Gang, Yun, KiHyun and Zhou, Zhengfang, Stability of the scattering from
a large electromagnetic cavity in two dimensions, SIAM J. Math. Anal. 44
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Yao, Wanghe, Chen, Xiaoli and Yang, Jianfu, Regularity and symmetry of positive solutions to nonlinear integral systems, Electron. J. Dierential Equations
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47G30 (35H10 35S05 42B10 44A35)
26. MR2834411
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45K05; 34K17; 35A22, 35F15; 35P25; 44A10; 45B05; 82D75
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Chandler-Wilde, Simon N.; Lindner, Marko: Limit Operators, Collective Compactness, and the Spectral Theory of Innite Matrices, Mem. Amer. Math.
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28. MR2844124
Eshaghi Gordji, M.; Baghani, H.; Baghani, O. On existence and uniqueness
of solutions of a nonlinear integral equation. J. Appl. Math. 2011, Art. ID
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29. MR2813432
Agarwal, Ravi P. et al., Solvability of a quadratic Hammerstein integral equation
in the class of functions having limits at innity. J. Integral Equations Appl.
23 (2011), no. 2
30. MR2776537
Zhao, Zhi-Han; Chang, Yong-Kui; N'Guérékata, G. M.: Pseudo-almost automorphic mild solutions to semilinear integral equations in a Banach space.
Nonlinear Anal. 74 (2011), no. 8, 28872894. (Reviewer: Luís P. Castro),
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31. MR2754828 (2012a:47068)
Moura Santos, A.; Bernardino, N. J.. Image normalization of Wiener-Hopf
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35
32. MR2746534 (2012a:45015)
Lei, Yutian; Ma, Chao: Asymptotic behavior for solutions of some integral
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33. MR2740590 (2012a:47062)
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.: On
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34. MR2729412 (2011k:53106)
Krishnan, Venkateswaran P.: On the inversion formulas of Pestov and Uhlmann
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36. MR2730536 (2011h:45010)
Zhong, Shouguo: Singular integral equations on the real axis with solutions
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Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.: Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. IMA
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Gruber, Fred K.; Marengo, Edwin A.: Reinterpretation and enhancement of
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Steinho, J. S.; Chitta, S.: Long distance wave computation using nonlinear
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40. MR2663529 (2011d:30121)
Ephremidze, L.; Lagvilava, E.: Remark on outer analytic matrix-functions.
Proc. A. Razmadze Math. Inst. 152 (2010), 2932. (Reviewer: Luís P. Castro),
30H10 (47A68)
41. MR2593195 (2011b:35357)
DeSanto, J. A.: Exact boundary integral equations for scattering of scalar waves
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42. MR2592781 (2011b:45021)
Bourgeois, Laurent; Haddar, Houssem: Identication of generalized impedance
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Kresin, Gershon: Multidimensional harmonic functions analogues of sharp realpart theorems in complex function theory. Analysis, partial dierential equations and applications, 115128, Oper. Theory Adv. Appl., 193, Birkhäuser
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Cimatti, Giovanni: Application of the Abel integral equation to an inverse
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36
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Martin, P. A.: Multiple scattering by multiple scatterers. Mathematical methods for imaging and inverse problems, 180206, ESAIM Proc., 26, EDP Sci.,
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Claeys, Xavier: On the theoretical justication of Pocklington's equation. Math.
Models Methods Appl. Sci. 19 (2009), no. 8, 13251355. (Reviewer: Luís P.
Castro), 35P25 (33C15 35C20 35J05 76Q05 78A45)
47. MR2554329 (2010m:35349)
Tatarskii, Valerian I.: Equations for the description of wave scattering by multivalued random surfaces. Waves Random Complex Media 19 (2009), no. 3,
480500. (Reviewer: Luís P. Castro), 35P25 (35R60 76Q05 78A45 82D30)
48. MR2536457 (2010g:35042)
Krynkin, A.; McIver, P.: Approximations to wave propagation through a lattice
of Dirichlet scatterers. Waves Random Complex Media 19 (2009), no. 2, 347
365. (Reviewer: Luís P. Castro), 35J05 (35C20 35P25)
49. MR2532513 (2010g:47057)
Barceló, J. A.; Folch-Gabayet, M.; Pérez-Esteva, S.; Ruiz, A.: Toeplitz operators on Herglotz wave functions. J. Math. Anal. Appl. 358 (2009), no. 2,
364379. (Reviewer: Luís P. Castro), 47B35 (35J05 46E22 47B32)
50. MR2519520 (2010d:78017)
Liu, Juan; Ma, Fu-ming: A PML method for electromagnetic scattering from
two-dimensional overlled cavities. Commun. Math. Res. 25 (2009), no. 1,
5368. (Reviewer: Luís P. Castro), 78A45 (35Q60 78A25 78M25)
51. MR2501165 (2010h:35285)
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner,
Marko: Condition number estimates for combined potential boundary integral
operators in acoustic scattering. J. Integral Equations Appl. 21 (2009), no.
2, 229279. (Reviewer: Luís P. Castro), 35P25 (31B15 35J05 47G10 65N99
76Q05)
52. MR2507930 (2010c:35143)
Lee, Doo-Sung: Scattering of an incident acoustic wave by an innite elastic
cylinder in a shallow sea. Math. Methods Appl. Sci. 32 (2009), no. 7, 757772.
(Reviewer: Luís P. Castro), 35P25 (35J05 76Q05)
53. MR2569608 (2010m:78016)
Hench, John J.; Strako², Zdenek: The RCWA methoda case study with open
questions and perspectives of algebraic computations. Electron. Trans. Numer.
Anal. 31 (2008), 331357. (Reviewer: Luís P. Castro), 78A45 (35Q61 42A20
42A85 65M99 78M25)
54. MR2488788 (2009m:47123)
Samko, N.: Fredholmness of singular integral operators in weighted Morrey
spaces. Proc. A. Razmadze Math. Inst. 148 (2008), 5168. (Reviewer: Luís P.
Castro), 47G10 (30E20 45E05 47A53 76G25)
55. MR2465540 (2009m:47122)
Krupnik, Naum; Spitkovsky, Ilya M.: On the norms of singular integral operators on contours with intersections. Complex Anal. Oper. Theory 2 (2008),
no. 4, 617626. (Reviewer: Luís P. Castro), 47G10 (30E20 47A30)
56. MR2464043 (2009m:47116)
Karapetyan, G. A.; Darbinyan, A. A.: The Noether property of a regular operator with constant coecients in a region. Proc. A. Razmadze Math. Inst.
146 (2008), 5766. (Reviewer: Luís P. Castro), 47F05 (47A53)
57. MR2454569 (2009k:35219)
Martin, P. A.; Maurel, A.: Multiple scattering by random congurations of
circular cylinders: weak scattering without closure assumptions. Wave Motion
45 (2008), no. 7-8, 865880. (Reviewer: Luís P. Castro), 35P25 (35J05 74J20
76Q05 78A45)
37
58. MR2447918 (2009g:35031)
Speck, Frank-Olme; Stephan, Ernst Peter: Boundary value problems for the
Helmholtz equation in an octant. Integral Equations Operator Theory 62
(2008), no. 2, 269300. (Reviewer: Luís P. Castro), 35J05 (35J25 45E10 47B35
47F05)
59. MR2434050 (2009d:78011)
Osipov, Andrey V.; Senior, Thomas B. A.: Electromagnetic diraction by
arbitrary-angle impedance wedges. Proc. R. Soc. Lond. Ser. A Math. Phys.
Eng. Sci. 464 (2008), no. 2089, 177195. (Reviewer: Luís P. Castro), 78A45
(78A25 78A40)
60. MR2428468 (2009d:47018)
Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem: An analytic proof of
the matrix spectral factorization theorem. Georgian Math. J. 15 (2008), no. 2,
241249. (Reviewer: Luís P. Castro), 47A68 (15A23 30E20)
61. MR2420728 (2009c:47014)
Lindner, Marko: Fredholmness and index of operators in the Wiener algebra are
independent of the underlying space. Oper. Matrices 2 (2008), no. 2, 297306.
(Reviewer: Luís P. Castro), 47A53 (46E40 47B36 47B37 47L10)
62. MR2394519 (2009b:45006)
Jahantigh, M.; Allahviranloo, T.; Otadi, M. Numerical solution of fuzzy integral
equations. Appl. Math. Sci. (Ruse) 2 (2008), no. 1-4, 3346. (Reviewer: Luís
P. Castro), 45B05 (12Y05 26E50)
63. MR2396954 (2009b:47081)
Chandler-Wilde, Simon N.; Lindner, Marko: Boundary integral equations on
unbounded rough surfaces: Fredholmness and the nite section method. J.
Integral Equations Appl. 20 (2008), no. 1, 1348. (Reviewer: Luís P. Castro),
47G10 (35J25 45B05 46N40 47A53)
64. MR2386419 (2009i:35063)
Bastos, M. A.; Lopes, P. A.; Moura Santos, A.: The two straight line approach
for periodic diraction boundary-value problems. J. Math. Anal. Appl. 338
(2008), no. 1, 330349. (Reviewer: Luís P. Castro), 35J25 (35J05 35P05 45E10
47A53 47A68 47B35 78A46)
65. MR2387370 (2008k:78022)
Tamura, Y.; Nakayama, J.: Scalar plane wave scattering from a thin lm with
two-dimensional uctuation. Waves Random Complex Media 18 (2008), no. 1,
2752. (Reviewer: Luís P. Castro), 78A45 (60K40 78A40)
66. MR2377284 (2008k:35071)
Chandler-Wilde, Simon N.; Monk, Peter: Wave-number-explicit bounds in
time-harmonic scattering. SIAM J. Math. Anal. 39 (2008), no. 5, 14281455.
(Reviewer: Luís P. Castro), 35J05 (35P25 42B10 76Q05 78A45)
67. MR2441017 (2009i:35227)
Bal, Guillaume; Carin, Lawrence; Liu, Dehong; Ren, Kui: Experimental validation of a transport-based imaging method in highly scattering environments.
Inverse Problems 23 (2007), no. 6, 2527-2539. (Reviewer: Luís P. Castro),
35P25 (35J05 35R30 35R60 76Q05 78A40 78A45 82D30)
68. MR2438155 (2009f:35042)
McIver, P.: Approximations to wave propagation through doubly-periodic arrays of scatterers. Waves Random Complex Media 17 (2007), no. 4, 439-453.
(Reviewer: Luís P. Castro), 35J05 (35P25 78A45)
69. MR2402854
Bahayou, M. A.: Sur le problème de Helmholtz. (French) [On the Helmholtz
problem] Rend. Semin. Mat. Univ. Politec. Torino 65 (2007), no. 4, 427449.
(Reviewer: Luís P. Castro) 35J05 (47A53 47G30 78A40 78A45)
38
70. MR2372083
Antipov, Y. A.; Silvestrov, V. V.: Method of integral equations for systems of
dierence equations in diraction theory. IMA J. Appl. Math. 72 (2007), no. 6,
681705. (Reviewer: Luís P. Castro) 78A45 (30E25 35J05 39A05 45A05 45E10)
71. MR2356368 (2008j:78011)
Schädle, Achim; Zschiedrich, Lin; Burger, Sven; Klose, Roland; Schmidt, Frank:
Domain decomposition method for Maxwell's equations: scattering o periodic
structures. J. Comput. Phys. 226 (2007), no. 1, 477493. (Reviewer: Luís P.
Castro) 78A45 (65N30 65N55 78M10)
72. MR2334665 (2008f:47075)
Karlovich, Yu. I.: Pseudodierential operators with compound non-regular
symbols. Math. Nachr. 280 (2007), no. 9-10, 11281144. (Reviewer: Luís P.
Castro) 47G30 (35S05 47A53 47G10)
73. MR2316833 (2008f:35273)
Hansen, Derek J.; Poignard, Clair; Vogelius, Michael S.: Asymptotically precise
norm estimates of scattering from a small circular inhomogeneity. Appl. Anal.
86 (2007), no. 4, 433458. (Reviewer: Luís P. Castro) 35P25 (35J05 35R30
74J25 76Q05 78A45)
74. MR2304472 (2008f:47046)
Ehrhardt, Torsten: Dyson's constants in the asymptotics of the determinants
of Wiener-Hopf-Hankel operators with the sine kernel. Comm. Math. Phys. 272
(2007), no. 3, 683698. (Reviewer: Luís P. Castro) 47B35 (15A15 15A52 47G10
82B05 82B44)
75. MR2313007 (2008c:35217)
Athanasiadis, Christodoulos; Tsitsas, Nikolaos L.: Scattering theorems for
acoustic excitation of a layered obstacle by an interior point source. Stud.
Appl. Math. 118 (2007), no. 4, 397418. (Reviewer: Luís P. Castro) 35P25
76. MR2309661 (2008d:78016)
Cakoni, Fioralba; Colton, David; Monk, Peter: On the use of transmission
eigenvalues to estimate the index of refraction from far eld data. Inverse
Problems 23 (2007), no. 2, 507522. (Reviewer: Luís P. Castro) 78A46 (35J05
35P25 35R30 78A45)
77. MR2294279 (2007m:47065)
Widom, Harold: On the inverse and determinant of certain truncated WienerHopf operators. Integral Equations Operator Theory 57 (2007), no. 1, 133151.
(Reviewer: Luís P. Castro) 47B35 (47A68 47G10)
78. MR2290349 (2007m:42010)
Criado-Aldeanueva, F.; Criado, F.; Odishelidze, N.: One non-local problem for
the Laplace equation in a disc. Integral Transforms Spec. Funct. 18 (2007),
no. 1-2, 109116. (Reviewer: Luís P. Castro) 42A85 (35J05 35J25 45E10)
79. MR2284234 (2007m:35181)
Bernard, J. M. L.: A spectral approach for scattering by impedance polygons.
Quart. J. Mech. Appl. Math. 59 (2006), no. 4, 517550. (Reviewer: Luís P.
Castro) 35P25 (35J05 45B05 78A45)
80. MR2262716 (2007g:47074)
Aibeche, Aissa: Fredholm property for a parameter dependent second order
operator dierential equation. Appl. Math. E-Notes 6 (2006), 283288 (electronic). (Reviewer: Luís P. Castro) 47F05 (34B07 34G10 35J05 35P05 47A53)
39
Participation in Units and Research Projects
Luís Castro took part in several projects and research units. We list below those in which he had the
nancial responsibility:
[2006]
129.600,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to UI&D Matemática e Aplicações, 2006.
[2007]
139.725,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to UI&D Matemática e Aplicações, 2007.
[2008]
151.875,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to UI&D Matemática e Aplicações, 2008.
[2009]
173.250,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to UI&D Matemática e Aplicações, 2009.
[2010]
286.687,50 Euros funded by FCT (Portuguese Foundation for Science and Technology) to CIDMA Centro de Investigação e Desenvolvimento em Matemática e
Aplicações, 2010.
[2011]
311.211,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to CIDMA Centro de Investigação e Desenvolvimento em Matemática e
Aplicações, 2011.
[2012]
311.211,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to CIDMA Centro de Investigação e Desenvolvimento em Matemática e
Aplicações, 2012.
[2013]
181.726,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to CIDMA Centro de Investigação e Desenvolvimento em Matemática e
Aplicações, 2013.
[2014]
194.279,00 Euros funded by FCT (Portuguese Foundation for Science and Technology) to CIDMA Centro de Investigação e Desenvolvimento em Matemática e
Aplicações, 2014. Project number PEst-OE/MAT/UI4106/2014.
Mathematical Association Memberships
[1998present]
Portuguese Society of Mathematics (member no 4027).
[1999present]
European Mathematical Society.
[1999present]
American Mathematical Society (member CSLSPA).
40