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
Recommended Citation
Estrada, R. (2019). The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions. Boletim da Sociedade Paranaense de Matematica, 37 (3), 143-157. https://doi.org/10.5269/bspm.v37i3.34198
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