Wavelet transforms via generalized quasi-regular representations
type: Item
instance of: scholarly article
title: Wavelet transforms via generalized quasi-regular representations
zbMATH Open document ID: 1184.42031
published in: Applied and Computational Harmonic Analysis
publication date: 2009-04-21T00:00:00Z
review text: Let \(G\) be a locally compact group, \(H\) a closed subgroup of \(G\). The authors define generalized quasi-regular representations of \(G\) on \(L^2 (G/H)\) and the relevant continuous wavelet transforms. It is shown that this method enables one to obtain \(n\)-dimensional continuous wavelet transforms and also continuous wavelet transforms on a group, which is topologically isomorphic to a homogeneous space of the semidirect product of an abelian locally compact group. Continuous wavelet transforms on some other groups discussed in the previous publications can also be included in this scheme.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 46C99
zbMATH DE Number: 5545827
zbMATH Keywords: homogeneous space
zbMATH Keywords: rho-function
zbMATH Keywords: relatively invariant measure
zbMATH Keywords: strongly quasi-invariant measure
zbMATH Keywords: unitary representation
zbMATH Keywords: continuous wavelet transform
zbMATH Keywords: semidirect product
author: R. A. Kamyabi-Gol
author: Narguess Tavallaei
MaRDI profile type: Publication
full work available at URL: j.acha.2008.07.001
OpenAlex ID: W2038164810
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DOI: 10.1016/J.ACHA.2008.07.001
description: scientific article; zbMATH DE number 5545827