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Other titles in the Mathematics and Its Applications series:

Mathematics and Its Applications #75: Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions

Mathematics and Its Applications #75: Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions Cover

 

Synopses & Reviews

Publisher Comments:

This is the last 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 q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

Table of Contents

Series Editor's Preface. List of Special Symbols. 14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions. 15: Semisimple Lie Groups and Related Homogeneous Spaces. 16: Representation of Semisimple Lie Groups and Their Matrix Elements 17: Group Representations and Special Functions of a Matrix Argument. 18: Representations in the Gel'fand-Tsetlin Basis and Special Functions. 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras. Bibliography. Notes. Subject Index.

Product Details

ISBN:
9789048141043
Publisher:
Springer
Location:
Dordrecht
Author:
Vilenkin, N. Ja
Author:
Klimyk, A. U.
Subject:
Functional Analysis
Subject:
Special functions
Subject:
abstract harmonic analysis
Subject:
Topological Groups, Lie Groups
Subject:
Integral Transforms, Operational Calculus
Subject:
Mathematics : Functional Analysis
Subject:
Mathematical Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Functions, special
Subject:
Harmonic analysis
Subject:
Topological groups
Subject:
Integral transforms
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 1992
Series:
Mathematics and its Applications
Series Volume:
Volume 3: Classical
Publication Date:
20101206
Binding:
TRADE PAPER
Language:
English
Pages:
653
Dimensions:
240 x 160 mm 976 gr

Related Subjects

Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » Group Theory

Mathematics and Its Applications #75: Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions
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