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

2011/02/04 by Jeffrey S. Geronimo, Geronimo, Jeffrey S., Philip Benge +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials #math.CA

paper · pdf · doi:10.48550/arxiv.1102.0986

12 pages, no figures

arxiv created 2011/02/04 · openalex publication_date 2011/02/04 · arxiv updated 2011/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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