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          |  | Volume 8, Issue 3, Article 73 |  |   
          |  |  |  |  |  |  | Characterization of Besov Spaces for the Dunkl Operator on the Real Line
 
 
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          |  |  | Authors: | Chokri Abdelkefi, Mohamed Sifi, |  |   
          |  |  | Keywords: | Dunkl operators, Dunkl transform, Dunkl translation operators, Dunkl convolution, Besov-Dunkl spaces. |  |   
          |  |  | Date Received: | 07/02/07 |  |   
          |  |  | Date Accepted: | 28/08/07 |  |   
          |  |  | Subject Codes: | 46E30, 44A15, 44A35. |  |   
          |  |  | Editors: | Sever S. Dragomir, |  |   
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          |  |  | Abstract: |  In this paper, we define subspaces of  by differences using the Dunkl translation operators  that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution. |   
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