This is the second 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 special functions and  orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel  and others) which are related to the class 1 representations of  various groups. The tree method for the construction of bases for  representation spaces is given. `Continuous' bases in the spaces of  functions on hyperboloids and cones and corresponding Poisson kernels  are found. Also considered are the properties of the q-analogs of  classical orthogonal polynomials, related to representations of the  Chevalley groups and of special functions connected with fields of  p-adic numbers. Much of the material included appears in book form for  the first time and many of the topics are presented in a novel way.    This volume will be of great interest to specialists in group  representations, special functions, differential equations with  partial derivatives and harmonic anlysis.   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 (Mathematics and its Applications)

Representation of Lie Groups and Special Functions: Volume 2: Class I Representations, Special Functions, and Integral Transforms (Mathematics and its Applications) PDF

The list of books you might like