Special Functions and Linear Representations of Lie Groups: Vol 042

Dieudonne, Jean A.

ISBN 10: 0821816926 / ISBN 13: 9780821816929

Published by Amer Mathematical Society, 1980

About this Item

59 pages. 10.25x7.25x0.25 inches. In Stock.

Seller Inventory # __0821816926

Bibliographic Details

• Title: Special Functions and Linear Representations of Lie Groups: Vol 042
• Publisher: Amer Mathematical Society
• Publication Date: 1980
• Language: English
• ISBN 10: 0821816926
• ISBN 13: 9780821816929
• Binding: Paperback
• Condition: Brand New
• Weight: 0.13 kilograms

About this title

Synopsis

Introduction Representations of $\mathbf {SU}(2)$ 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 $\mathbf {SL}(2, \mathbf R)$ Automorphic functions Groups of isometries and Bessel functions Other special functions References