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Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms (Mathematics and its Applications, 72) by N.Ja. Vilenkin and A.U. Klimyk; [translated from the Russian by V.A. Groza and A.A. Groza] is a nonfiction available to read on EtoBox.
What is Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms (Mathematics and its Applications, 72) about?
This is the first 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 classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. The volume is self-contained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. For research mathematicians, physicists and engineers.
Who reads Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms (Mathematics and its Applications, 72)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- N.Ja. Vilenkin and A.U. Klimyk; [translated from the Russian by V.A. Groza and A.A. Groza]
- Publisher
- Kluwer Academic Publishers; Springer
- Published
- 1991
- Language
- EN
- ISBN
- 9780792314936
- Category
- nonfiction
- Subjects
- Mathematics, Science, Physics
Other editions & translations
- Representation of Lie Groups and Special Functions: Recent Advances (Mathematics and Its Applications, 316) (1994)
- Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms (Mathematics and its Applicati (1993)
- Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms (Mathematics and its Applicati (1992)
More by N.Ja. Vilenkin and A.U. Klimyk; [translated from the Russian by V.A. Groza and A.A. Groza]
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