English

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

Classical Analysis and ODEs 2020-06-08 v1

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.

Keywords

Cite

@article{arxiv.2006.03223,
  title  = {An extension of Pizzetti's formula associated with the Dunkl operators},
  author = {Nobukazu Shimeno and Naoya Tani},
  journal= {arXiv preprint arXiv:2006.03223},
  year   = {2020}
}

Comments

10 pages