A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, \omega_{k}(x)dx)$
Classical Analysis and ODEs
2013-11-01 v1
Abstract
A new fractional version of the Dunkl transform for real order is obtained. An integral representation, a Bochner type identity and a Master formula for this transform are derived.
Cite
@article{arxiv.1310.8502,
title = {A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, \omega_{k}(x)dx)$},
author = {Sami Ghazouani and Fethi Bouzeffour},
journal= {arXiv preprint arXiv:1310.8502},
year = {2013}
}