Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials

2008/07/23 by Zhihua Du, Du, Zhihua
Computer Science · Mathematics · #42A05 #42C05 #Complex Variables (math.CV) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Matrix Theory and Algorithms #math.CV #msc:42A05 #msc:42C05

paper · pdf · doi:10.48550/arxiv.0807.3712

11 pages

arxiv created 2008/07/23 · openalex publication_date 2008/07/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain some analogs of Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems appeared in the theory of orthogonal polynomials on the unit circle (OPUC) for orthogonal trigonometric polynomials (OTP). The key tool is the mutual representation theorem for OPUC and OTP.

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