Special Functions and the Theory of Group Representations
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A01=American Mathematical Society
Author_American Mathematical Society
Category=PB
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Product details
- ISBN 9780821815724
- Weight: 1056g
- Publication Date: 30 Dec 1968
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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A standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special functions are related to (and derived from) simple well-known facts of representation theory. The book combines the majority of known results in this direction. In particular, the author describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group $SU(2)$, and the hypergeometric function and representations of the group $SL(2,R)$, as well as many other classes of special functions.
