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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

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