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Special Functions and Linear Representations of Lie Groups

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Special Functions and Linear Representations of Lie Groups image
ISBN-10:

0821816926

ISBN-13:

9780821816929

Author(s): Jean Dieudonné
Edition: UK ed.
Released: Dec 31, 1980
Publisher: American Mathematical Society
Format: Paperback, 59 pages
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Description:

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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