Continuous Gabor transform for strong hypergroups
type: Item
instance of: scholarly article
title: Continuous Gabor transform for strong hypergroups
zbMATH Open document ID: 1037.42031
author: Wojciech Czaja
author: Giacomo Gigante
published in: The Journal of Fourier Analysis and Applications
publication date: 2003-12-16T00:00:00Z
review text: On every commutative hygergroup, one can define a generalized translation operator and a generalized Haar measure; thus, it is natural to extend the classical results from Gabor analysis to this setting. With the definition of the continuous Gabor transform given in the paper, the authors obtain generalizations of the main results in Gabor analysis, e.g., the Plancherel formula and the inversion formula. The results are applied to Bessel-Kingman hypergroups and to the dual Jacobi polynomial hypergroups.
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 43A62
zbMATH DE Number: 2018212
zbMATH Keywords: generalized Haar measure
zbMATH Keywords: Gabor transform
zbMATH Keywords: Bessel-Kingman hypergroups
zbMATH Keywords: dual Jacobi polynomial hypergroups
MaRDI profile type: Publication
full work available at URL: s00041-003-0017-x
OpenAlex ID: W2068408450
DOI: 10.1007/S00041-003-0017-X
description: scientific article; zbMATH DE number 2018212