Helgason–Gabor–Fourier transform and uncertainty principles

DOI10.1142/S0219691320500563zbMath1457.42009arXiv1901.01105OpenAlexW3088949852MaRDI QIDQ5150111

M. El Kassimi, Mustapha Boujeddaine, Saïd Fahlaoui

Publication date: 9 February 2021

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01105

zbMATH Keywords

symmetric spaceFourier-Helgason transformBenedicks theoremGabor-Fourier transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transforms and operators of Fourier type (43A32) Harmonic analysis and spherical functions (43A90) Other transformations of harmonic type (42C20)

Cites Work

• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Uncertainty Principles and Signal Recovery
• Inequalities and local uncertainty principles
• A Theorem Concerning Fourier Transforms
• A Note on Fourier Transforms
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