Diferentes noções de diferenciabilidade para funções definidas na esfera / Different notions of differentiability for functions defined on the sphere

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In this work we study different notions of differentiability for functions defined on the unit sphere S^n-1 of R^n, n>=2. With respect to the usual derivative, we find necessary and/or sufficient conditions in order that a function be differentiable up to a fixed order. As for the other two, the strong Laplace-Beltrami derivative and the weak derivative, we present some basic properties about them and search for conditions that guarantee the equivalence of them with the previous one.

ASSUNTO(S)

esfera fórmula da adição homogeneous functions laplace-beltrami differentiability sphere diferenciabilidade funções homogêneas laplace-beltrami spherical harmonics harmônicos esféricos addition formula funk-hecke funk-hecke

ACESSO AO ARTIGO

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