Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1271

 Title: On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces Authors: Abdelkefi, ChokriSifi, Mohamed Keywords: Dunkl TransformBochner-Riesz MeansPartial Dunkl IntegralsBesov-Dunkl Spaces44A1544A3546E30 Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 1, (2006), 43p-56p Abstract: 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. Description: 2000 Mathematics Subject Classification: 44A15, 44A35, 46E30 URI: http://hdl.handle.net/10525/1271 ISSN: 1311-0454 Appears in Collections: 2006

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