A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, ω_{k}(x)dx)$

Sami Ghazouani, Fethi Bouzeffour

Published 2013-10-30Version 1

A new fractional version of the Dunkl transform for real order $\alpha$ is obtained. An integral representation, a Bochner type identity and a Master formula for this transform are derived.