Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group
type: Item
instance of: scholarly article
title: Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group
zbMATH Open document ID: 1072.47046
author: P. Boggiatto
author: M. W. Wong
published in: Integral Equations and Operator Theory
publication date: 2004-10-28T00:00:00Z
review text: The paper under review introduces a generalization of \textit{I. Daubechies}' localization operators [IEEE Trans. Inf. Theory 34, No. 4, 605--612 (1988; Zbl 0672.42007)], by means of introducing the dependence of the operator on an additional Weyl-Heisenberg wavelet. The main results provide sufficient conditions for such generalizations to be bounded and compact operators on the spaces \(L^p(\mathbb{R}^d)\), where \(p \in [r, r']\), with special interest given to the case \(1\leq p \leq \infty\).
reviewed by: Wojciech Czaja
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 2111519
zbMATH Keywords: admissible wavelet
zbMATH Keywords: localization operator
zbMATH Keywords: Weyl-Heisenberg group
MaRDI profile type: Publication
full work available at URL: s00020-002-1200-1
OpenAlex ID: W2015805882
DOI: 10.1007/S00020-002-1200-1
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description: scientific article; zbMATH DE number 2111519