Geodesic
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
Fractional calculus and applied analysis, Tome 9 (2006) no. 1, pp. 43-56.

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In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.
Keywords: Dunkl Transform, Bochner-Riesz Means, Partial Dunkl Integrals, Besov-Dunkl Spaces, 44A15, 44A35, 46E30 
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Abdelkefi, Chokri; Sifi, Mohamed. On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces. Fractional calculus and applied analysis, Tome 9 (2006) no. 1, pp. 43-56. http://geodesic.mathdoc.fr/item/FCAA_2006_9_1_a3/