Twisted orbital integrals on real reductive Lie groups
type: Item
instance of: scholarly article
title: Twisted orbital integrals on real reductive Lie groups
zbMATH Open document ID: 0877.22002
author: David Renard
published in: Journal of Functional Analysis
publication date: 1997-05-19T00:00:00Z
review text: The author studies the orbital integrals on non-connected real reductive groups, obtaining a characterisation of these functions. In this context he constructs a family of invariant eigendistributions that are used to prove an invariant Paley-Wiener theorem. The article consists of 18 sections, among them the most important ones are: Section 9 -- Orbital integrals, Section 15 -- Construction of proper invariant distributions, and Section 17 -- Invariant Paley-Wiener theorem.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 1011044
zbMATH Keywords: Lie groups
zbMATH Keywords: Cartan subspaces
zbMATH Keywords: filtration
zbMATH Keywords: orbital integrals
zbMATH Keywords: real reductive groups
zbMATH Keywords: invariant eigendistributions
zbMATH Keywords: Paley-Wiener theorem
reviewed by: Constantin Udrişte
MaRDI profile type: Publication
full work available at URL: jfan.1996.2976
OpenAlex ID: W2057115043
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DOI: 10.1006/JFAN.1996.2976
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description: scientific article; zbMATH DE number 1011044