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Representation of Lie Groups and Special Functions

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Vilenkin, N. Ia; Klimyk, A. U.; 作者
譯者
1992-12 出版日期
630 頁數
$ 315.27 價格
叢書系列
9780792314929 圖書編碼

Representation of Lie Groups and Special Functions 在線電子書 圖書標籤: 數學  of  and  Springer  Special  Representation  Lie  Groups   


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Representation of Lie Groups and Special Functions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Representation of Lie Groups and Special Functions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Representation of Lie Groups and Special Functions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Representation of Lie Groups and Special Functions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Representation of Lie Groups and Special Functions 在線電子書 圖書描述

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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