Zonal and Associated Functions on $SO_{0}(p,q)$ Groups
Classical Analysis and ODEs
2018-06-05 v1 Mathematical Physics
math.MP
Abstract
Explicit expressions for associated spherical functions of 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 infinite-dimensional Lie group .
Cite
@article{arxiv.1801.05679,
title = {Zonal and Associated Functions on $SO_{0}(p,q)$ Groups},
author = {B. A. Rajabov},
journal= {arXiv preprint arXiv:1801.05679},
year = {2018}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:math-ph/0303058