Continuous spherical Gabor transform for Gelfand pair
type: Item
instance of: scholarly article
title: Continuous spherical Gabor transform for Gelfand pair
zbMATH Open document ID: 1469.43002
author: Moussa Faress
author: S. Fahlaoui
published in: Mediterranean Journal of Mathematics
publication date: 2021-05-04T00:00:00Z
review text: A spherical Gabor transform is introduced which is based on the Gelfand pairs and their spherical Fourier transforms. Its fundamental properties, such as the Plancherel, Parseval and inversion formula, are established. A number of uncertainty principles (such as Donoho-Stark's uncertainty principle, Lieb's inequality and Beckner's uncertainty principle) associated with this transformation are proved.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 43A30
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 22E45
Mathematics Subject Classification ID: 43A32
zbMATH DE Number: 7343505
zbMATH Keywords: Gelfand pair
zbMATH Keywords: spherical function
zbMATH Keywords: spherical Fourier transform
zbMATH Keywords: spherical Gabor transform
zbMATH Keywords: uncertainty principle
MaRDI profile type: Publication
full work available at URL: s00009-021-01710-y
OpenAlex ID: W3136302509
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DOI: 10.1007/S00009-021-01710-Y
description: scientific article; zbMATH DE number 7343505