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OverviewThis 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 orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) which are related to the class 1 representations of various groups. The tree method for the construction of bases for representation spaces is given. 'Continuous' bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. Also considered are the properties of the q-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups and of special functions connected with fields of p-adic numbers. Much of the material included appears in book form for the first time and many of the topics are presented in a novel way. This volume will be of great interest to specialists in group representations, special functions, differential equations with partial derivatives and harmonic anlysis. Subscribers to the complete set of three volumes will be entitled to a discount of 15%. Full Product DetailsAuthor: N.Ja. Vilenkin , A.U. KlimykPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1992 Volume: 74 Dimensions: Width: 15.50cm , Height: 3.20cm , Length: 23.50cm Weight: 0.961kg ISBN: 9789048141036ISBN 10: 9048141036 Pages: 608 Publication Date: 05 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents9: Special Functions Connected with SO(n) and with Related Groups.- 10: Representations of Groups, Related to SO(n ? 1), in Non-Canonical Bases, Special Functions, and Integral Transforms.- 11: Special Functions Connected with the Groups U(n), U(0?1,1) and IU(n ? 1).- 12: Representations of the Heisenberg Group and Special Functions.- 13: Representations of the Discrete Groups and Special Functions of Discrete Argument.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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