Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets
Classical Analysis and ODEs
2009-07-15 v1
Abstract
We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on . We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
Keywords
Cite
@article{arxiv.0907.2341,
title = {Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets},
author = {Mohamed Ali Mourou},
journal= {arXiv preprint arXiv:0907.2341},
year = {2009}
}