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Representation of Lie Groups and Special Functions : Representation of Lie Groups and Special Functions Class I Representations, Special Functions, and Integral Transforms v. 2 - N. I. A. Vilenkin

Representation of Lie Groups and Special Functions

Representation of Lie Groups and Special Functions Class I Representations, Special Functions, and Integral Transforms v. 2

Hardcover

Published: 31st December 1992
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This is the second of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with the properties of special functions, and the relation of orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) to class I representations of various groups. The tree method for the construction of bases for representation spaces is provided. "Continuous" bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. The properties of the g-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups, and of special functions connected with fields of p-adic numbers, are examined. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

List of the Most Important Notations
Special Functions Connected with SO(n) and with Related Groups
Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms
Special Functions Connected with the Groups U(n), U(n-1.1) and IU(n-1)
Representations of the Heisenberg Group and Special Functions
Representations of the Discrete Groups and Special Functions of Discrete Argument
Bibliography
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792314929
ISBN-10: 0792314921
Series: Mathematics and Its Applications. Soviet Series : Book 2
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 608
Published: 31st December 1992
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 3.51
Weight (kg): 1.06