“ Para-orthogonality from a new viewpoint ”
Prof. Kenier Castillo Rodríguez – UNESP – São José do
Rio Preto
Resumo: It is well known that the behavior of the zeros of para-orthogonal
polynomials on the unit circle is analogous to the zeros of the orthogonal polynomials on the real
line. This fact is crucial in the construction of positive quadrature formulas on the unit circle,
which makes their computation to be of interest in certain problems of approximation on the unit
circle. Our goal is to provide the para-orthogonality theory with a new powerful tool for
computing: recurrence relation. Analogous results to the classicals Favard and GeronimusWendroff theorems are deduced.
A apresentação será em português.
Data/hora: 22/05 (Quinta-feira) às 17:00 Hs.
Local: Sala 1F 119