The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions
Resumen
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:
Descargas
La descarga de datos todavía no está disponible.
Publicado
2017-09-23
Número
Sección
Research Articles
Derechos de autor 2017 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
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).
