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Item Details
Title: SPECIAL FUNCTIONS AND THE THEORY OF GROUP REPRESENTATIONS
By: N. Ja. Vilenkin, V. N. Singh
Format: Paperback

List price: £144.00
Our price: £139.68
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ISBN 10: 0821815725
ISBN 13: 9780821815724
Availability: Usually dispatched within 1-3 weeks.
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Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 December, 1968
Series: Translations of Mathematical Monographs No. 22
Pages: 613
Description: 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.
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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