Special Functions and the Theory of Group Representations

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Mathematics - Algebra
Special Functions and the Theory of...

Special Functions and the Theory of Group Representations

Name: Special Functions and the Theory of Group Representations
ISBN: 9780821815724

N. Ja. Vilenkin, Наум Яковлевич Виленкин

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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.

Kategorie:

Mathematics - Algebra

Tom:

Rok:

1968

Wydanie:

Revised

Wydawnictwo:

American Mathematical Society

Język:

english

Strony: