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L-p uncertainty principles for the Fourier transform with numerical aspect
Journal article   Peer reviewed

L-p uncertainty principles for the Fourier transform with numerical aspect

Akram Nemri, Fethi Soltani and Nemri Akram
Applicable analysis, Vol.95(5), pp.931-943
03/05/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish L-p local uncertainty principle for the Fourier transform; and we deduce L-p version of Heisenberg-Pauli-Weyl uncertainty principle. We use also the L-p local uncertainty principle, the partial Fourier integrals and the techniques of Donoho-Stark, we present two uncertainty principles of concentration type in the L-p theory, when 1 < p = 2. Some numerical applications are given.

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