Special functions and linear representations of Lie groups / by Jean Dieudonné.

Format:

Book

Author/Creator:

Dieudonné, Jean, 1906-1992, author.

Contributor:

Conference Board of the Mathematical Sciences.

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 42

Language:

English

Subjects (All):

Functions, Special.

Representations of Lie groups.

Physical Description:

1 online resource (iii, 59 pages)

Place of Publication:

Providence, R.I. : Published for Conference Board of the Mathematical Sciences by the American Mathematical Society, c1980.

System Details:

Mode of access : World Wide Web

Contents:

Introduction Representations of SU(2) The general theory of linear representations of compact groups Lie theory of representations of compact connected Lie groups Induced representations of compact groups Spherical functions on compact groups Examples; spherical harmonics The general theory of spherical functions Fourier and Plancherel transforms Extension of the Plancherel transform The subtleties of harmonic analysis Differential properties of spherical functions on Lie groups Spherical functions on semisimple Lie groups More on SL(2, $\mathbb {R}$) Automorphic functions Groups of isometries and Bessel functions Other special functions

Notes:

"Expository lectures from the CBMS regional conference held at East Carolina University, March 5-9, 1979."

Bibliography: pages 59.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Dieudonné, Jean, 1906-1992. Special functions and linear representations of Lie groups /

ISBN:

9781470424022 (online)

Access Restriction:

Restricted for use by site license.