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Glasgow Mathematical Journal (1)

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GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE
FRANCISCO JAVIER GONZÁLEZ VIELI
Journal:

Glasgow Mathematical Journal / Volume 47 / Issue 2 / May 2005

Published online by Cambridge University Press:

27 July 2005, pp. 339-345

Print publication:

May 2005
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We show that the Fourier expansion in spherical $h$-harmonics (from Dunkl's theory) of a function $f$ on the sphere converges uniformly to $f$ if this function is sufficiently differentiable.