Abstract
In this paper we are concerned with the Dunkl Laplacian Δ
k
on R
d
. We define a mean value property associated with Δ
k
. We prove that a function u defined on R
d
, satisfies the equation Δ
k
u= 0 if and only if it verifies a mean value property associated with the operator Δ
k
. Next we give some applications using this mean value.