Some problems of harmonic analysis on reductive groups
type: Item
instance of: scholarly article
title: Some problems of harmonic analysis on reductive groups
zbMATH Open document ID: 1045.22015
DOI: 10.1023/B:ACAP.0000024209.38381.57
author: D. P. Zhelobenko
published in: Acta Applicandae Mathematicae
publication date: 2004-08-20T00:00:00Z
review text: This is a survey paper describing an algebraic approach to harmonic analysis on reductive Lie groups. The author considers the case of complex semisimple Lie groups in detail and discusses several problems for real reductive Lie groups. The main topics covered in the paper are: elementary modules over topological groups, symmetry conditions with respect to the Weyl group, group algebras, Harish-Chandra modules, and operational calculus.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 22E45
Mathematics Subject Classification ID: 20C35
zbMATH DE Number: 2093670
zbMATH Keywords: Lie groups
zbMATH Keywords: Lie algebras
zbMATH Keywords: enveloping algebras
zbMATH Keywords: topological modules
zbMATH Keywords: Harish-Chandra modules
MaRDI profile type: Publication
full work available at URL: b:acap.0000024209.38381.57
OpenAlex ID: W2010940199
description: scientific article; zbMATH DE number 2093670