Geodesic
GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 339-345

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DOI

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.
DOI : 10.1017/S0017089505002570
Mots-clés : Primary 42C10, Secondary 33C50 
VIELI, FRANCISCO JAVIER GONZÁLEZ. GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 339-345. doi: 10.1017/S0017089505002570
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     title = {GENERALIZED {FOURIER} {EXPANSIONS} {OF} {DIFFERENTIABLE} {FUNCTIONS} {ON} {THE} {SPHERE}},
     journal = {Glasgow mathematical journal},
     pages = {339--345},
     year = {2005},
     volume = {47},
     number = {2},
     doi = {10.1017/S0017089505002570},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002570/}
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