$L^p$ LOCAL UNCERTAINTY PRINCIPLE FOR THE DUNKL TRANSFORM

Authors : Fethi Soltani

Pages : 100-109

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Publication Date : 2015-10-01

Article Type : Research

Abstract :In this paper, we establish $L^p$ local uncertainty principle for the Dunkl transform on Rd; and we deduce $L^p$ version of the Heisenberg-Pauli- Weyl uncertainty principle for this transform. We use also the $L^p$ local uncertainty principle for the Dunkl transform and the techniques of Donoho-Stark, we obtain uncertainty principles of concentration type in the $L^p$  theory, when 1 < p < 2.
Keywords : Dunkl transform, local uncertainty principle, Heisenberg-Pauli-Weyl uncertainty principle, Donoho-Stark's uncertainty principles.