Orthogonal polynomials on the circumference and arcs of the circumference
type: Item
instance of: scholarly article
title: Orthogonal polynomials on the circumference and arcs of the circumference
zbMATH Open document ID: 0956.42017
author: Franz Peherstorfer
author: R. Steinbauer
published in: Journal of Approximation Theory
publication date: 2001-02-21T00:00:00Z
review text: The paper is a part of the theory of orthogonal polynomials on several arcs of the circumference (which has many analogues with the theory of orthogonal polynomials on several intervals of the real axis). The authors prove an analogue of Aptekarev's theorem on asymptotically periodic recurrence coefficients and they find very interesting results on the description of the orthogonality measure and its properties if the reflection coefficients are additionally of bounded variation \(\pmod N\).
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C47
zbMATH DE Number: 1417553
zbMATH Keywords: orthogonal polynomials on the unit circle
zbMATH Keywords: several arcs
zbMATH Keywords: reflection coefficients
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
full work available at URL: jath.1999.3383
OpenAlex ID: W1973324107
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DOI: 10.1006/JATH.1999.3383
description: scientific article; zbMATH DE number 1417553