Some inverse problems for \(d\)-orthogonal polynomials
type: Item
instance of: scholarly article
title: Some inverse problems for \(d\)-orthogonal polynomials
zbMATH Open document ID: 1267.42030
author: Abdessadek Saib
author: Ebtissem Zerouki
published in: Mediterranean Journal of Mathematics
publication date: 2013-05-17T00:00:00Z
review text: The authors study the generalized inverse problem of the left product of a \(d\)-dimensional vector form by a polynomial. They find regularity conditions of the vector linear form \(\mathcal{V}\) defined by \(\mathcal{U}=R\,\mathcal{V}\), where \(R\) is a \(d\times d\) matrix polynomial. A related inverse problem is also considered. As an immediate consequence the authors find the explicit relation between \(\mathcal{U}\) and \(\mathcal{V}\).
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C47
zbMATH DE Number: 6164337
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: \(d\)-orthogonality
zbMATH Keywords: \(d\)-quasi-orthogonality
zbMATH Keywords: recurrence relation
zbMATH Keywords: linear forms
zbMATH Keywords: dual sequences
MaRDI profile type: Publication
full work available at URL: s00009-012-0225-1
OpenAlex ID: W2039591871
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DOI: 10.1007/S00009-012-0225-1
description: scientific article; zbMATH DE number 6164337