The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions
Résumé
We give a version of the Funk-Hecke formula that holds with minimal assumptonsand apply it to obtain formulas for the distributional derivatives of radial
distributions in Rn of the type
Yk
r
j
(f (r)) ;
where Yk is a harmonic homogeneous polynomial. We show that such derivatives have
simpler expressions than those of the form p
r
(f (r)) for a general polynomial p:
Téléchargements
Les données sur le téléchargement ne sont pas encore disponible.
Publiée
2017-09-23
Numéro
Rubrique
Research Articles
Copyright (c) 2017 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
