An integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces

2017/08/10 by Intissar, A., Moustapha, M. V. Ould, Mouhcine, Z.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.03160

Abstract

The main aim of the present paper is to establish an integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces. Moreover, certain interesting integral identities for the Gauss hypergeometric functions have also been given.

Related

• Harmonic analysis on certain spherical varieties
• Spherical functions for small K-types
• Complex horospherical transform on real sphere
• Matrix Valued Spherical Functions Associated to the Three Dimensional Hyperbolic Space
• A simple range characterization for spherical mean transform in odd dimensions and its applications