Aspect of harmonic analysis on permutations group and applications
Omar El Fourchi, Adil Echchelh · Journal of Mathematical and Computational Science · 2016
The principal aim of the present paper is to develop the theory of Gelfand pairs on the symmetric group in order to define and study the horocyclic Radon transform on this group. We also find a simple inversion formula for the Radon transform of the solution to the heat equation associated to this group.