An extension of Pizzetti's formula associated with the Dunkl operators

Abstract

We give an extension of Pizzetti's formula associated with the Dunkl operators. It gives an explicit formula for the Dunkl inner product of an arbitrary function and a homogeneous Dunkl harmonic polynomial on the unit sphere.

10 pages

References in corpus (1)

• Mean value property associated with the Dunkl Laplacian