FoCM 2014 conference
Workshop C5 - Special Functions and Orthogonal Polynomials
December 18, 17:30 ~ 18:00 - Room A21
Explicit formulas for OPUC and para-orthogonal polynomials for measures which are modifications of Lebesque measure
Cleonice Bracciali
UNESP - Universidade Estadual Paulista, Brazil - cleonice@ibilce.unesp.br
We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at $z=1$ and $z=i$. The orthogonal polynomials on the unit circle (OPUC), the para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented, through explicit formulas for the Verblunsky coefficients.
Joint work with A. Sri Ranga (UNESP - Universidade Estadual Paulista, Brazil).