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ISBN: 9780792332107
ID: 9780792332107
Representation of Lie Groups and Special Functions: Hardback: Kluwer Academic Publishers: 9780792332107: 30 Nov 1994: This text is a continuation of the three-volume work "Representation of Lie Groups and Special Functions" by the same authors. The theory of orthogonal symmetric polynomials and multivariate hypergeometric functions associated to symmetric polynomials are treated. In 1991-1993 our three-volume book "Representation of Lie Groups and Spe- cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep- resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza- tions of classical special functions that were dictated by matrix elements of repre- sentations. Functional Analysis & Transforms, , , , Representation of Lie Groups and Special Functions, N.IA. Vilenkin, 9780792332107, Kluwer Academic Publishers, , , , ,, [PU: Kluwer Academic Publishers]
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N.Ja. Vilenkin, A.U. Klimyk:
Representation of Lie Groups and Special Functions: Recent Advances - new bookISBN: 9780792332107
ID: 978079233210
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. N.Ja. Vilenkin, A.U. Klimyk, Books, Science and Nature, Representation of Lie Groups and Special Functions: Recent Advances Books>Science and Nature, Springer Netherlands
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ISBN: 9780792332107
ID: 3168058
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: Recent Advances Vilenkin, N. Ja / Klimyk, A. U., Springer
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ISBN: 9780792332107
ID: 9780792332107
Mathematics; Special Functions; Topological Groups, Lie Groups; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Abstract Harmonic Analysis Jacobi, Mathematica, lie group, theoretical physics Books Book, Springer Science+Business Media
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Title: | Representation of Lie Groups and Special Functions |
ISBN: | 9780792332107 |
Details of the book - Representation of Lie Groups and Special Functions
EAN (ISBN-13): 9780792332107
ISBN (ISBN-10): 0792332105
Hardcover
Publishing year: 1994
Publisher: Springer-Verlag GmbH
524 Pages
Weight: 0,929 kg
Language: eng/Englisch
Book in our database since 25.04.2007 05:19:06
Book found last time on 13.12.2016 10:00:13
ISBN/EAN: 9780792332107
ISBN - alternate spelling:
0-7923-3210-5, 978-0-7923-3210-7
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