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Glasgow Mathematical Journal
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GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE

Generalized Fourier expansions of differentiable functions on the sphere
descriptionPublicationkeyboard_double_arrow_right Article 01 May 2005 English Publisher:Cambridge University Press (CUP)Journal:Glasgow Mathematical Journal, volume 47, pages 339-345 (issn: 0017-0895, eissn: 1469-509X, Copyright policy )
Authors: González Vieli, Francisco Javier;

doi: 10.1017/s0017089505002570

GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE

Abstract

Summary: 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.

Related Organizations
Keywords

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze