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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 019, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.019 (Mi sigma365) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform

Chokri Abdelkefia, Jean-Philippe Ankerb, Feriel Sassia, Mohamed Sific

a Department of Mathematics, Preparatory Institute of Engineer Studies of Tunis, 1089 Monfleury Tunis, Tunisia
b Department of Mathematics, University of Orleans \& CNRS, Federation Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 6628), B. P. 6759, 45067 Orleans cedex 2, France
c Department of Mathematics, Faculty of Sciences of Tunis, 1060 Tunis, Tunisia
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DOI: https://doi.org/10.3842/SIGMA.2009.019
Abstract: In this paper, we show the inclusion and the density of the Schwartz space in Besov–Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov–Dunkl space.
Keywords: Dunkl operators; Dunkl transform; Dunkl translations; Dunkl convolution; Besov–Dunkl spaces.
Received: August 28, 2008; in final form February 5, 2009; Published online February 16, 2009
Bibliographic databases:
Document Type: Article
MSC: 42B10; 46E30; 44A35
Language: English
Citation: Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi, “Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform”, SIGMA, 5 (2009), 019, 15 pp.
Citation in format AMSBIB
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\by Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi
\paper Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform
\jour SIGMA
\yr 2009
\vol 5
\papernumber 019
\totalpages 15
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