1 citations · 1 across the 4 of their papers we have counts for
4 papers
The spherical transform of a Schwartz function on the free two step nilpotent lie group
Jingzhe Xu
Let be a connected and simply connected free 2-step nilpotent lie group and be a compact subgroup of Aut(). We say that is a Gelfand pair when the set o…
A new method to prove the irreducibility of the eigenspace representations for Rn semidirect with a finite pseudo-reflection group
Jingzhe Xu
We show that the Eigenspace Representations for semidirect with a finite pseudo-reflection group , which satisfy some generic property are equivalent to the ind…
Spectra for Gelfand pairs associated with the free two step nilpotent lie group
Jingzhe Xu
Let be a connected and simply connected free 2-step nilpotent lie group and be a compact subgroup of Aut(). We say that is a Gelfand pair when the set o…
The bounded spherical functions on the Cartan Motion group and Generalizations for the eigenspaces of the Laplacian on Rn
Jingzhe Xu
The bounded spherical functions are determined for a real Cartan Motion group which is a generalization for the case when the Cartan Motion group is complex written by Helgason Sig…