Aspect of harmonic analysis on permutations group and applications

Omar El Fourchi, Adil Echchelh

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.

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How to Cite this Article:

Omar El Fourchi, Adil Echchelh, Aspect of harmonic analysis on permutations group and applications, Journal of Mathematical and Computational Science, Vol 6, No 1 (2016), 22-38

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.

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