Journal of Function Spaces (Jan 2018)
Inversion of Riesz Potentials for Dunkl Transform
Abstract
The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.