Asymptotics for orthogonal polynomials on and off the essential spectrum
type: Item
instance of: scholarly article
title: Asymptotics for orthogonal polynomials on and off the essential spectrum
zbMATH Open document ID: 0663.41029
DOI: 10.1016/0021-9045(88)90088-3
published in: Journal of Approximation Theory
publication date: 1988-01-01T00:00:00Z
review text: A conjecture of \textit{A. Máté}, \textit{S. Nevai} and \textit{V. Totik} [Constructive Approximation 1, 231-248 (1985; Zbl 0585.42023)] is settled in the paper showing that the asymptotic behavior of the orthogonal polynomials on the essential spectrum is closely related to the asymptotic behavior in the complex plane off the essential spectrum. Two independent proofs of the conjecture are constructed. Both the proofs given are interesting.
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 4084265
zbMATH Keywords: sequences of bounded variation
zbMATH Keywords: essential spectrum
author: Walter Van Assche
author: Jeffrey S. Geronimo
MaRDI profile type: Publication
full work available at URL: 0021-9045(88)90088-3
OpenAlex ID: W2043352761
cites work: Q5526485
cites work: Q3327119
cites work: Asymptotics for orthogonal polynomials defined by a recurrence relation
cites work: Orthogonal polynomials
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description: scientific article; zbMATH DE number 4084265