Green function and Poisson kernel associated to root systems for annular regions

Chaabane Rejeb

Let ${\Delta }_k$ be the Dunkl Laplacian relative to a fixed root system $\mathcal{R}$ in ${\mathbb{R}}^d$, $d\ge 2$, and to a nonnegative multiplicity function $k$ on $\mathcal{R}$. Our fir…