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  Volume 10, Issue 2, Article 42
 
On Heisenberg and Local Uncertainty Principles for the $q$-Dunkl Transform

    Authors: Ahmed Fitouhi, Ferjani Nouri, Sana Guesmi,  
    Keywords: $q$-Dunkl transform, Heisenberg-Weyl inequality, Local uncertainty principles.  
    Date Received: 17/01/09  
    Date Accepted: 02/05/09  
    Subject Codes:

33D15, 26D10, 26D20, 39A13, 42A38.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper, we provide, for the q-Dunkl transform studied in [2], a Heisenberg uncertainty principle and two local uncertainty principles leading to a new Heisenberg-Weyl type inequality.

         
       
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