Hypergeometric Gabor transform and uncertainty principles
type: Item
instance of: scholarly article
title: Hypergeometric Gabor transform and uncertainty principles
author: Hatem Mejjaoli
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2024-10-07T00:00:00Z
review text: In this contribution the author proposes the hypergeometric Gabor transform as an extension of the classical Gabor transform within the Heckman-Opdam theoretical framework. This extension adapts the Gabor methodology to the setting of hypergeometric Fourier transforms associated with Cherednik operators. Also, the author extends classical uncertainty principles to the hypergeometric Gabor setting. It includes quantitative Heisenberg-type inequalities, entropy-based uncertainty principle, and localization results, such as Benedicks-type principles and Donoho-Stark inequalities. Finally, a framework for further exploration is given.
reviewed by: Yamilet Quintana
Mathematics Subject Classification ID: 33E30
Mathematics Subject Classification ID: 33C67
Mathematics Subject Classification ID: 43A32
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 7922502
zbMATH Keywords: Cherednik operators
zbMATH Keywords: hypergeometric Fourier transform
zbMATH Keywords: hypergeometric Gabor transform
zbMATH Keywords: uncertainty principles
MaRDI profile type: Publication
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DOI: 10.1007/S40590-024-00664-X
description: scientific article; zbMATH DE number 7922502