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Integral Transforms and Special Functions Volume 23, 2012 - Issue 3
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Original Articles

A family of generalized windowed transforms associated with the Dunkl operators on ℝd

Rayaane Maalaoui Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis-El Manar, Tunis, Tunisia
&
Khalifa Trimèche Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis-El Manar, Tunis, TunisiaCorrespondence[email protected]
Pages 191-206 | Received 28 Mar 2011, Accepted 30 Mar 2011, Published online: 01 Jun 2011
 
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Abstract

In this paper, we study a family of generalized windowed transforms associated with the Dunkl operators on ℝ d , and we prove for them Plancherel and inversion formulas and characterize their images.

Mathematics Subject Classification :

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