Representation of Lie Groups and Special Functions: Classical and Quantum Groups and Special Functions - Couverture rigide

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

Couverture rigide

ISBN 10 : 079231493X ISBN 13 : 9780792314936

Editeur : Kluwer Academic Publishers, 1992

Synopsis

Onc service malhemalics has rendered Ihe "Et moil ...- si ravait au oomment en revcnir. je n'y serais point aU': ' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'are of this series.

A propos du livre

Présentation de l'éditeur

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%.

Détails de l'édition

• Éditeur: Kluwer Academic Publishers
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 079231493X
• ISBN 13: 9780792314936
• Reliure: Relié
• Nombre de pages: 654
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne