Representation Of Lie Groups And Special Functions
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Representation Of Lie Groups And Special Functions
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Author : Naum I︠A︡kovlevich Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-11-30
Representation Of Lie Groups And Special Functions written by Naum I︠A︡kovlevich Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-30 with Mathematics categories.
One service mathematici has rendered the 'Et moi, ... si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell 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'el;re of this series."
Representation Of Lie Groups And Special Functions
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Author : N. Ja. Vilenkin
language : en
Publisher:
Release Date : 2014-01-15
Representation Of Lie Groups And Special Functions written by N. Ja. Vilenkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Representation Of Lie Groups And Special Functions
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Author : Naum I︠A︡kovlevich Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 1995
Representation Of Lie Groups And Special Functions written by Naum I︠A︡kovlevich Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to Clebsch-Gordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics.
Representation Of Lie Groups And Special Functions
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Author : N.Ja. Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Representation Of Lie Groups And Special Functions written by N.Ja. Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
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%.
Representation Of Lie Groups And Special Functions Volume 2 Class I Representations Special Functions And Integral Transforms
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Author :
language : en
Publisher:
Release Date : 1993
Representation Of Lie Groups And Special Functions Volume 2 Class I Representations Special Functions And Integral Transforms written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Special Functions And Linear Representations Of Lie Groups
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Author : Jean Dieudonné
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Special Functions And Linear Representations Of Lie Groups written by Jean Dieudonné and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Representation Of Lie Groups And Special Functions
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Author : Naum Ja Vilenkin
language : en
Publisher:
Release Date : 1991
Representation Of Lie Groups And Special Functions written by Naum Ja Vilenkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Representation Of Lie Groups And Special Functions Classical And Quantum Groups And Special Functions
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Author : Naum I︠A︡kovlevich Vilenkin
language : en
Publisher:
Release Date : 1991
Representation Of Lie Groups And Special Functions Classical And Quantum Groups And Special Functions written by Naum I︠A︡kovlevich Vilenkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Functions, Special categories.
Special Functions And The Theory Of Group Representations
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Author : Naum I͡Akovlevich Vilenkin
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Special Functions And The Theory Of Group Representations written by Naum I͡Akovlevich Vilenkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
A standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special functions are related to (and derived from) simple well-known facts of representation theory. The book combines the majority of known results in this direction. In particular, the author describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group $SU(2)$, and the hypergeometric function and representations of the group $SL(2,R)$, as well as many other classes of special functions.
Representation Of Lie Groups And Special Functions
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Author : N.Ja. Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Representation Of Lie Groups And Special Functions written by N.Ja. Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.