Un théorème de Choquet-Deny pour les groupes moyennables. (A theorem of Choquet-Deny for amenable groups)
type: Item
instance of: scholarly article
title: Un théorème de Choquet-Deny pour les groupes moyennables. (A theorem of Choquet-Deny for amenable groups)
zbMATH Open document ID: 0627.60011
DOI: 10.1007/BF00959612
author: Albert Raugi
publication date: 1988-01-01T00:00:00Z
review text: Let G be a connected locally compact separable amenable group. Let \(\sigma\) be a positive measure on the Borel \(\sigma\)-field of G. We study the positive Borel functions h on G which satisfy: \[ \forall g\in G,\int _{G}h(gx)\sigma (dx)=\int _{G}h(xg)\sigma (dx)=h(g). \] Under ``smooth'' assumptions on \(\sigma\), we establish an integral representation of these functions in term of exponentials.
Mathematics Subject Classification ID: 60B15
zbMATH DE Number: 4020079
zbMATH Keywords: connected locally compact separable amenable group
zbMATH Keywords: integral representation
MaRDI profile type: Publication
cites work: Q3269437
cites work: Q3229429
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4020079