The Fractional Dunkl Laplacian: Extension Problem and Fundamental Solution

Chaabane Rejeb

Consider the Dunkl Laplacian ${\Delta }_k$ associated with a root system $\Phi$ in ${\mathbb{R}}^d$ and a nonnegative multiplicity function $k$ on $\Phi$. In this paper, we establish a Caffarelli-Silvestr…