Title

The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions

Document Type

Article

Publication Date

1-1-2019

Abstract

We give a version of the Funk-Hecke formula that holds with minimal assumptons and apply it to obtain formulas for the distributional derivatives of radial distributions in Rn of the type Yk ∇ ∆j (f (r)), where Yk is a harmonic homogeneous polynomial. We show that such derivatives have simpler expressions than those of the form p ∇ (f (r)) for a general polynomial p.

Publication Source (Journal or Book title)

Boletim da Sociedade Paranaense de Matematica

First Page

143

Last Page

157

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