Items for "spherical h-harmonics"

Derivatives of generalized Fourier expansions on the sphere

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.

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