Some problems of harmonic analysis on reductive groups (Q1876560)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some problems of harmonic analysis on reductive groups |
scientific article; zbMATH DE number 2093670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some problems of harmonic analysis on reductive groups |
scientific article; zbMATH DE number 2093670 |
Statements
Some problems of harmonic analysis on reductive groups (English)
0 references
20 August 2004
0 references
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.
0 references
Lie groups
0 references
Lie algebras
0 references
enveloping algebras
0 references
topological modules
0 references
Harish-Chandra modules
0 references
