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

zbMath1411.44003arXiv1708.03160MaRDI QIDQ5743108

Mohamed Vall Ould Moustapha, Ahmed Intissar, Zakariyae Mouhcine

Publication date: 8 May 2019

Full work available at URL: https://arxiv.org/abs/1708.03160

zbMATH Keywords

hyperbolic functionsresolvent kernelhyperbolic spacesGauss hypergeometric functionLaplace-Beltrami operatorJacobi equationharmonic NA groups

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Differential geometry of symmetric spaces (53C35) Classical hypergeometric functions, ({}_2F_1) (33C05)

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