Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms: 74 - Brossura

Vilenkin, N.Ja.; Klimyk, A.U.

 
9789048141036: Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms: 74
Brossura
ISBN 10: 9048141036 ISBN 13: 9789048141036
Casa editrice: Springer, 2010

Sinossi

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 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%.

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Contenuti

List of the Most Important Notations. 9: Special Functions Connected with SO(n) and with Related Groups. 10: Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms. 11: Special Functions Connected with the Groups U(n), U(n-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. Bibliography. Subject Index.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
9048141036
ISBN 13 
9789048141036
Rilegatura
Copertina flessibile
Numero di pagine
636
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
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Altre edizioni note dello stesso titolo

9780792314929: Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms: 74

Edizione in evidenza

ISBN 10:  0792314921 ISBN 13:  9780792314929
Casa editrice: Springer-Verlag GmbH, 1992
Rilegato