Spectral synthesis on algebras of Jacobi polynomial series
type: Item
instance of: scholarly article
title: Spectral synthesis on algebras of Jacobi polynomial series
zbMATH Open document ID: 0536.43013
DOI: 10.1007/BF01196661
author: Stefan Wolfenstetter
published in: Archiv der Mathematik
publication date: 1984-01-01T00:00:00Z
review text: Let A\(J(\alpha\),\(\beta)\) be the algebra of Jacobi polynomial series, which converge on \([-1,1]\). A complete characterization of its closed ideals with one point cospectrum is given. In particular, points in \((- 1,1)\) are shown to be of spectral synthesis if and only if \(\alpha<1/2\).
Mathematics Subject Classification ID: 43A46
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3851733
zbMATH Keywords: spectral synthesis
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: algebra of Jacobi polynomial series
zbMATH Keywords: one point cospectrum
MaRDI profile type: Publication
cites work: A local property of absolutely convergent Jacobi polynomial series
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description: scientific article; zbMATH DE number 3851733