The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms
type: Item
instance of: scholarly article
title: The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms
zbMATH Open document ID: 1200.33015
author: Ana Portilla
author: José M. Rodríguez
author: Eva Tourís
published in: Acta Applicandae Mathematicae
publication date: 2010-07-24T00:00:00Z
full work available at URL: http://hdl.handle.net/10016/6448
review text: One of the central problems in the theory of Sobolev orthogonal polynomials is to determine its asymptotic behavior. Under certain conditions the authors obtain the \(n\)-th root asyptotic of these polynomials with respect to a non-diagonal Sobolev norm. The boundedness of the zeros is obtained as a consequence of the boundedness of the multiplication operator.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 33C47
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 5760426
zbMATH Keywords: multiplication operator
zbMATH Keywords: zero location
zbMATH Keywords: orthogonal polynomials in Sobolev spaces
MaRDI profile type: Publication
OpenAlex ID: W1973332137
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DOI: 10.1007/S10440-009-9541-2
description: scientific article; zbMATH DE number 5760426