Parameters associated with bivariate Bernstein-Szego measures on the bi-circle

Details Parameters associated with bivariate Bernstein-Szego measures on the bi-circle Parameters associated with bivariate Bernstein-Szego measures on the bi-circle

2011-02-04

arxiv.org/abs/1102.0986v1

Mathematics

Classical Analysis and ODEs

12 pages, no figures

Scientific paper

We consider measures supported on the bi-circle and review the recurrence relations satisfied by the orthogonal polynomials associated with these measures constructed using the lexicographical or reverse lexicographical ordering. New relations are derived among these recurrence coefficients. We extend the results of [8] on a parameterization for Bernstein-Szego measures supported on the bi-circle.

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