Strong Laplace Beltrami Derivative
Mostrando 1-2 de 2 artigos, teses e dissertações.
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1. Aproximação na esfera por uma soma com pesos de harmônicos esféricos / Approximation on the sphere by weighted sums of spherical harmonics
The subject of this work is to study approximation on the sphere by weighted sums of spherical harmonics. We present necessary and sufficient conditions on the weights for convergence in both, the continuous and the Lp cases. We analyse the convergence rates of the approximation processes using a modulus of smoothness related to the strong Laplace- Beltrami
Publicado em: 2007
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2. Diferentes noções de diferenciabilidade para funções definidas na esfera / Different notions of differentiability for functions defined on the sphere
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
Publicado em: 2007