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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 5
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Articles

uncertainty principles for the Fourier transform with numerical aspect

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Pages 931-943 | Received 22 Nov 2014, Accepted 16 Apr 2015, Published online: 12 May 2015
 

Abstract

In this paper, we establish local uncertainty principle for the Fourier transform; and we deduce version of Heisenberg–Pauli–Weyl uncertainty principle. We use also the local uncertainty principle, the partial Fourier integrals and the techniques of Donoho–Stark, we present two uncertainty principles of concentration type in the theory, when . Some numerical applications are given.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

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