ZONAL AND ASSOCIATED FUNCTIONS ON SO0 p; q GROUPS

Year 2018, Volume: 8 Issue: 1, 32 - 43, 01.06.2018

B.a. Rajabov

Abstract

Explicit expressions for associated spherical functions of SO p; q matrix groups are obtained using a generalized hypergeometric series of two variables. In this paper we present explicit expressions for zonal functions of de Sitter groups and the group of conformal invariance. Moreover, we present a theorem on the transformation of derivative of distributions, concentrated on smooth surfaces, with respect to innite- dimensional Lie group C1 Rn ;GL n .

Keywords

Spherical functions, Horn's series, SO p, q groups, de Sitter groups SO 4, 1 and SO 3, 2, conformal group SO 4, 2, derivative of distribution

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