On the Green function and Poisson integrals of the Dunkl Laplacian

Piotr Graczyk, Tomasz Luks, Margit Rösler

We prove the existence and study properties of the Green function of the unit ball for the Dunkl Laplacian ${\Delta }_k$ in ${\mathbb{R}}^d$. As applications we derive the Poisson-Jensen for…