The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions
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 r j (f (r)) ; where Yk is a harmonic homogeneous polynomial. We show that such derivatives have simpler e...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2019-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/34198 |