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DISPERSION'S UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE DIRECTIONAL SHORT-TIME FOURIER TRANSFORM
Journal article   Peer reviewed

DISPERSION'S UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE DIRECTIONAL SHORT-TIME FOURIER TRANSFORM

Siwar Hkimi, Hatem Mejjaoli and Slim Omri
Studia scientiarum mathematicarum Hungarica, Vol.57(4), pp.508-540
01/12/2020

Abstract

Mathematics Physical Sciences Science & Technology
We introduce the directional short-time Fourier transform for which we prove a new Plancherel's formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle, Faris-Price uncertainty principles and Donoho-Stark's uncertainty principles.

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