Gabor transform and Donoho-Stark's U.P. in \(NA\)-groups

DOI10.1007/s00034-020-01598-1OpenAlexW3109584624MaRDI QIDQ2699666

Saïd Fahlaoui, Moussa Faress

Publication date: 19 April 2023

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-020-01598-1

zbMATH Keywords

Fourier transformuncertainty principleshort time Fourier transformDamek-Ricci space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on hypergroups (43A62)

Cites Work

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• Two aspects of the Donoho-Stark uncertainty principle
• Harmonic analysis on solvable extensions of H-type groups
• Foundations of time-frequency analysis
• Advances in Gabor analysis
• Continuous Gabor transform for a class of non-abelian groups
• Uncertainty Principles and Signal Recovery
• A RESULT OF PALEY AND WIENER ON DAMEK–RICCI SPACES
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A Poisson kernel on Heisenberg type nilpotent groups
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• The Helgason Fourier transform on a class of nonsymmetric harmonic spaces
• Fourier and Radon transform on harmonic 𝑁𝐴 groups

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