Inversion Formulas for the Spherical Radon-Dunkl Transform
Classical Analysis and ODEs
2009-03-04 v1 Functional Analysis
Abstract
The spherical Radon-Dunkl transform , associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of -harmonics. Several inversion formulas of are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.
Keywords
Cite
@article{arxiv.0903.0573,
title = {Inversion Formulas for the Spherical Radon-Dunkl Transform},
author = {Zhongkai Li and Futao Song},
journal= {arXiv preprint arXiv:0903.0573},
year = {2009}
}