Liouville Theorem for Dunkl Polyharmonic Functions

Guangbin Ren, Liang Liu

Assume that $f$ is Dunkl polyharmonic in ${\mathbb{R}}^n$ (i.e. $({\Delta }_h{)}^{p}f=0$ for some integer $p$, where ${\Delta }_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multip…