Continuous spherical Gabor transform for Gelfand pair

DOI10.1007/S00009-021-01710-YzbMath1469.43002OpenAlexW3136302509MaRDI QIDQ2024727

Moussa Faress, Saïd Fahlaoui

Publication date: 4 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01710-y

zbMATH Keywords

uncertainty principleGelfand pairspherical functionspherical Fourier transformspherical Gabor transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (2)

Bounded spherical functions and Heisenberg inequality on quaternionic Heisenberg group ⋮ Unnamed Item

Cites Work

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• Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Foundations of time-frequency analysis
• Advances in Gabor analysis
• Continuous Gabor transform for a class of non-abelian groups
• Heisenberg uncertainty inequality for Gabor transform
• Uncertainty Principles and Signal Recovery
• Invariant differential operators on the Heisenberg group and Meixner–Pollaczek polynomials
• Introduction to nonlinear dispersive equations

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