Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms by N. Ja. Vilenkin , A. U. Klimyk
English | PDF | 1991 | 634 Pages | ISBN : 0792314662 | 39.2 MB
Following the publication of the book "Special Functions and the Theory of Group Representations" in 1965 by one of the authors of the present book, interest in the investigations of the different relations between these branches of mathematics, at first sight far removed from each other, has considerably increased. Great interest in this subject has been shown by physicists - almost every issue of the "Journal of Mathematical Physics" contains papers on this topic. At the same time, physical problems stimulated the study of Clebsch- Gordan coefficients, Racah coefficients, 3mj symbols, and other objects which turned out to be special functions having discrete argument. A series of impor- tant results on this topic is contained in the book "Matrix Elements and Clebsch-Gordan Coefficients of Group Representations", Kiev, 1979, by the second author of the present work. We also mention the books by W. Miller [30, 31] and J. Talman [45], devoted to related problems.
