Operating functions on Fourier multipliers
type: Item
instance of: scholarly article
title: Operating functions on Fourier multipliers
zbMATH Open document ID: 0806.42003
author: Satoru Igari
author: Enji Sato
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1995-02-12T00:00:00Z
review text: We consider the algebra of translation invariant operators of \(L^ p({\mathbf T})\) to \(L^ q({\mathbf T})\). If \(1\leq p< q\leq \infty\), the spectrum of such an operator coincides with the closure of the range of the corresponding multiplier. Furthermore, if \(p\leq 2< q\), the operating functions on the algebra of multipliers are characterized.
Mathematics Subject Classification ID: 42A45
Mathematics Subject Classification ID: 43A22
zbMATH DE Number: 697059
zbMATH Keywords: Fourier multiplier
zbMATH Keywords: operating function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225717
OpenAlex ID: W2088685413
cites work: Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
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cites work: Q3254471
DOI: 10.2748/TMJ/1178225717
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description: scientific article; zbMATH DE number 697059