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Quantitative uncertainty principles associated with the directional short-time Fourier transform
Journal article   Peer reviewed

Quantitative uncertainty principles associated with the directional short-time Fourier transform

Hatem Mejjaoli and Slim Omri
Integral transforms and special functions, Vol.32(10), pp.753-779
03/10/2021
DOI: https://doi.org/10.1080/10652469.2020.1843166

Abstract

directional radar ambiguity function Directional short-time Fourier transform Heisenberg's type uncertainty principles inversion theorem local uncertainty principles Primary 43A32 Secondary35A23
We introduce the directional short-time Fourier transform for which we prove a new inversion formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, Faris-Price uncertainty principles and local uncertainty principles.

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