Spherical matrix functions and Banach representability for compactly generated locally compact motion groups
type: Item
instance of: scholarly article
title: Spherical matrix functions and Banach representability for compactly generated locally compact motion groups
zbMATH Open document ID: 0926.43002
author: Hitoshi Shin'ya
published in: Journal of Mathematics of Kyoto University
publication date: 1999-11-22T00:00:00Z
review text: Let \(G\) be a semidirect product of a compactly generated Abelian group \(S\) and a compact group \(K\); \(G\) is a compactly generated locally compact motion group. All topologically irreducible representations containing some element of the dual object \(\widehat K\) of \(K\) finitely many times are shown to be subquotients of \(\text{ind}_{S\uparrow G}\Lambda\) for some one-dimensional representation \(\Lambda\) of \(G\).
Mathematics Subject Classification ID: 43A65
Mathematics Subject Classification ID: 22D30
zbMATH DE Number: 1295047
zbMATH Keywords: induced representations
zbMATH Keywords: spherical matrix function
zbMATH Keywords: compactly generated locally compact motion group
reviewed by: Jean-Paul Pier
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518165
OpenAlex ID: W1607391587
DOI: 10.1215/KJM/1250518165
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description: scientific article; zbMATH DE number 1295047