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Representation of Lie Groups and Special Functions : Volume 2: Class I Representations, Special Functions, and Integral Transforms 🔍
N. Ja. Vilenkin, A. U. Klimyk (auth.) Springer Netherlands : Imprint : Springer, Mathematics and Its Applications, Mathematics and Its Applications 74, 1, 1993
英语 [en] · PDF · 14.8MB · 1993 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
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%.
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-94-017-2883-6.pdf
备用文件名
nexusstc/Representation of Lie Groups and Special Functions/122790aa316b654c17124127cbd6c397.pdf
备用文件名
scihub/10.1007/978-94-017-2883-6.pdf
备用文件名
zlib/Mathematics/N. Ja. Vilenkin, A. U. Klimyk (auth.)/Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms_2125553.pdf
备选作者
Vilenkin, N. Ja, Klimyk, A. U.
备选作者
Naum I︠A︡kovlevich Vilenkin
备选作者
Naum Âkovlevič Vilenkin
备用出版商
Springer Science + Business Media BV
备用出版商
Springer-Verlag New York, LLC
备用版本
Mathematics and its applications. Soviet series, Dordrecht, cop. 1993
备用版本
Mathematics and Its Applications, Soviet Series, 74, Dordrecht, 1993
备用版本
Mathematics and its applications, 74, Dordrecht, 2011
备用版本
Springer Nature, Dordrecht, 2013
备用版本
Netherlands, Netherlands
备用版本
1993, 2010
元数据中的注释
sm21679241
元数据中的注释
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备用描述
Front Matter....Pages i-xviii
Special Functions Connected with SO ( n ) and with Related Groups....Pages 1-158
Representations of Groups, Related to SO (n−1), in Non-Canonical Bases, Special Functions, and Integral Transforms....Pages 159-277
Special Functions Connected with the Groups U ( n ), U ( n −1,1) and IU ( n −1)....Pages 278-409
Representations of the Heisenberg Group and Special Functions....Pages 410-484
Representations of Discrete Groups and Special Functions of Discrete Argument....Pages 485-576
Back Matter....Pages 577-612
备用描述
Mathematics and its Applications
Erscheinungsdatum: 05.12.2010
开源日期
2013-08-01
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