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Francisco Javier Gonzalez Vieli

Derivatives of generalized Fourier expansions on the sphere

Keywords: Dunkl's operators, Fourier expansion, spherical h-harmonics

We show that the term by term derivative of the Fourier expansion in spherical h-harmonics (from Dunkl´s theory) of a function f on the sphere converges uniformly to the derivative of f if this function is sufficiently differentiable.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 26, 04/2006
Pages: 451 - 461

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