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

DOI10.1080/10652469.2020.1843166zbMath1489.43005OpenAlexW3104984926MaRDI QIDQ3383708

Slim Omri, Hatem Mejjaoli

Publication date: 16 December 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1843166

zbMATH Keywords

inversion theoremdirectional short-time Fourier transformlocal uncertainty principlesdirectional radar ambiguity functionHeisenberg's type uncertainty principles

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Other transforms and operators of Fourier type (43A32) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Directional Stockwell transform in L²(ℝⁿ) ⋮ Spectral theorems associated with the directional short-time Fourier transform ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ A variation of the Lq,p‐uncertainty inequalities of Heisenberg‐type for symmetric q‐integral transforms ⋮ Uncertainty principles associated with the directional short-time Fourier transform

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