Spherical Analysis on Permutations Group and Applications

Details Spherical Analysis on Permutations Group and Applications Spherical Analysis on Permutations Group and Applications

2006-11-04

arxiv.org/abs/math/0611102v1

Mathematics

Group Theory

16 pages, latex

Scientific paper

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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