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Special functions and linear representations of Lie groups

Author: Jean Dieudonné; Conference Board of the Mathematical Sciences.
Publisher: Providence, R.I. : Published for Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1980.
Series: Regional conference series in mathematics, no. 42.
Edition/Format:   Book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Jean Dieudonné; Conference Board of the Mathematical Sciences.
ISBN: 0821816926 9780821816929
OCLC Number: 5494132
Notes: "Expository lectures from the CBMS regional conference held at East Carolina University, March 5-9, 1979."
Description: iii, 59 p. ; 26 cm.
Contents: Introduction --
Representations of SU(2) --
The general theory of linear respresentations of compact groups --
Lie theory of representations of compact connected Lie groups --
Induced representations of compact groups --
Examples; spherical harmonics --
The general theory of spherical transforms --
Fourier and Plancherel transform --
Extension of the Plancherel transform --
The subtleties of harmonic analysis --
Differential properties of spherical functins of Lie groups --
Spherical functions on semisimple Lie groups --
Move on SL(2, R) --
Automorpheric functions --
Groups of isometries and Basel functions --
Ohter special functions --
References.
Series Title: Regional conference series in mathematics, no. 42.
Responsibility: by Jean Dieudonné.
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