Harmonic analysis on non-semisimple symmetric spaces
type: Item
instance of: scholarly article
title: Harmonic analysis on non-semisimple symmetric spaces
zbMATH Open document ID: 0611.43002
DOI: 10.1007/BF02764962
author: Ronald L. Lipsman
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The paper concerns qualitative aspects of the Plancherel decomposition \(L^ 2(G/H)\) for groups of the form \(G=KS\), S exponentially solvable, normal, and \(H=KS^{\sigma}\), \(\sigma\) an involutive automorphism of S. Among other results, a condition is given for the spectrum to be multiplicity-free.
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 22E45
zbMATH DE Number: 3987934
zbMATH Keywords: non-nilpotent symmetric spaces
zbMATH Keywords: multiplicity-free spectrum
zbMATH Keywords: Plancherel decomposition
zbMATH Keywords: involutive automorphism
MaRDI profile type: Publication
cites work: Q3310843
cites work: Representations of exponential Lie groups
cites work: Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
cites work: Q4774241
cites work: The plancherel formula for group extensions
cites work: Group representations. A survey of some current topics
cites work: Q3929943
cites work: Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
cites work: Harmonic induction on Lie groups.
cites work: Q3308258
cites work: Unitary representations of group extensions. I
cites work: Square Integrable Representations of Nilpotent Groups
full work available at URL: https://doi.org/10.1007/bf02764962
OpenAlex ID: W2029081948
Recommended article: Q3733451
Recommended article: Q3744672
Recommended article: Q4369287
Recommended article: Q5167394
Recommended article: Q3828485
Recommended article: Q4408058
Recommended article: Q4321770
Recommended article: Q3338732
Recommended article: Hyperfunctions and harmonic analysis on symmetric spaces
Recommended article: Q4549307
description: scientific article; zbMATH DE number 3987934