Support properties of the intertwining and the mean value operators in Dunkl theory
Support properties of the intertwining and the mean value operators in Dunkl theory
In this paper we show that the representing measures of the Dunkl intertwining operator associated to a Coxeter-Weyl group $W$ in $\mathbb {R}^d$ and to a multiplicity function $k\geq 0$, have $W$-invariant supports under the condition $k>0$. This property enables us to determine explicitly the supports of the measures representing …