Aspect of harmonic analysis on permutations group and applications
Abstract
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.
Copyright © 2016 Omar El Fourchi, Adil Echchelh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
O. El Fourchi, A. Echchelh, Aspect of harmonic analysis on permutations group and applications, J. Math. Comput. Sci. 6 (2016), 22–38.
BibTeX
@article{Fourchi2016,
author = {El Fourchi, Omar and Echchelh, Adil},
title = {Aspect of harmonic analysis on permutations group and applications},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {22--38},
doi = {}
}