
Harmonic Analysis and Representations of Semisimple Lie Groups
Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977
Kluwer Academic Publishers
Published on 31. July 1980
Book
Hardback
VIII, 496 pages
978-90-277-1042-0 (ISBN)
Description
This book presents the text of the lectures which were given at the NATO Advanced Study Institute on Representations of Lie groups and Harmonic Analysis which was held in Liege from September 5 to September 17, 1977. The general aim of this Summer School was to give a coordinated intro duction to the theory of representations of semisimple Lie groups and to non-commutative harmonic analysis on these groups, together with some glance at physical applications and at the related subject of random walks. As will appear to the reader, the order of the papers - which follows relatively closely the order of the lectures which were actually give- follows a logical pattern. The two first papers are introductory: the one by R. Blattner describes in a very progressive way a path going from standard Fourier analysis on IR" to non-commutative harmonic analysis on a locally compact group; the paper by J. Wolf describes the structure of semisimple Lie groups, the finite-dimensional representations of these groups and introduces basic facts about infinite-dimensional unitary representations. Two of the editors want to thank particularly these two lecturers who were very careful to pave the way for the later lectures. Both these chapters give also very useful guidelines to the relevant literature.
More details
Series
Edition
1980 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Publishing group
Springer
Target group
Professional and scholarly
Research
Illustrations
VIII, 496 p.
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 33 mm
Weight
881 gr
ISBN-13
978-90-277-1042-0 (9789027710420)
DOI
10.1007/978-94-009-8961-0
Schweitzer Classification
Other editions
Additional editions

J.A. Wolf | M. Cahen | M. de Wilde
Harmonic Analysis and Representations of Semisimple Lie Groups
Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977
Book
08/1981
Springer
€160.49
The article will not be published
Content
General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.