عنوان

Harmonic Analysis and Representations of Semisimple Lie Groups :

(Number (ISBN

940098961X

(Number (ISBN

9789400989610

Number

b594051

Title Proper

Harmonic Analysis and Representations of Semisimple Lie Groups :

General Material Designation

[Book]

Other Title Information

Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977

First Statement of Responsibility

edited by J. A. Wolf, M. Cahen, M. De Wilde.

Place of Publication, Distribution, etc.

Dordrecht Springer Netherlands

Date of Publication, Distribution, etc.

1980

Specific Material Designation and Extent of Item

(VIII, 496 p.).

Series Title

Mathematical physics and applied mathematics, 5.

Text of Note

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.

Text of Note

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.

Parallel Title

Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held In Liège, Belgium, September 5-7, 1977

Harmonic analysis -- Congresses.

Representations of Lie groups -- Congresses.

Semisimple Lie groups -- Congresses.

Class number

Book number

edited by J. A. Wolf, M. Cahen, M. De Wilde.

J A Wolf

M De Wilde

M Cahen

Electronic name

[Book]

Y