Separating sets by Fourier-Stieltjes transforms
type: Item
instance of: scholarly article
title: Separating sets by Fourier-Stieltjes transforms
zbMATH Open document ID: 0683.43003
DOI: 10.1016/0022-1236(89)90099-2
author: Dale Alspach
author: Alec L. Matheson
author: J. Rosenblatt
published in: Journal of Functional Analysis
publication date: 1989-01-01T00:00:00Z
review text: It is shown that if A and B are uniformly separated closed subsets of a locally compact Abelian group \(\Gamma\) and A and B are in the coset ring of \(\Gamma\) with the discrete topology then there is a compactly supported measure on the dual of \(\Gamma\) with Fourier transform equal to one on A and zero on B. In part, the purpose of this paper is to correct an error of an earlier paper by the authors [see J. Funct. Anal. 69, 141 (1986; Zbl 0633.43003)].
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 22B10
zbMATH DE Number: 4118944
zbMATH Keywords: uniformly separated closed subsets
zbMATH Keywords: locally compact Abelian group
zbMATH Keywords: compactly supported measure
zbMATH Keywords: Fourier transform
MaRDI profile type: Publication
full work available at URL: 0022-1236(89)90099-2
OpenAlex ID: W2049096178
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description: scientific article; zbMATH DE number 4118944