The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions
Resumo
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:
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Publicado
2017-09-23
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