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Fourier expansion
Items for "Fourier expansion"
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
04/2006 | Analysis, Oldenbourg WissenschaftsverlagGeneralized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions
We prove that the kernels of surjective convolution operators on Fourier hyperfunctions (and on Fourier ultra-hyperfunctions) admit a basis of exponential solutions...
Keywords: convolution operators, Fourier hyperfunctions, Fourier expansion
02/2007 | Analysis, Oldenbourg Wissenschaftsverlag