Special Functions and Linear Representations of Lie Groups

Jean Dieudonné
Publisher:
American Mathematical Society
Publication Date:
1980
Number of Pages:
59
Format:
Paperback
Series:
CBMS Regional Conference Series in Mathematics 42
Price:
17.00
ISBN:
978-0821816929
Category:
General
BLL Rating:

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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• 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