A construction of orthogonal compactly supported multiwavelets on \(\mathbf R^2\)
type: Item
instance of: scholarly article
title: A construction of orthogonal compactly supported multiwavelets on \(\mathbf R^2\)
zbMATH Open document ID: 0976.42023
author: Bruce Kessler
published in: Applied and Computational Harmonic Analysis
publication date: 2001-12-28T00:00:00Z
review text: This paper provides the general construction of the continuous, orthogonal, compactly supported multiwavelets associated with a class of continuous, orthogonal, compactly supported scaling functions that contain piecewise linear functions on a uniform triangulation of \({\mathbb{R}}^2\). This class of scaling functions is a generalization of a set of scaling functions first constructed by \textit{J. S. Geronimo} and \textit{D. Hardin} [J. Math. Anal. Appl. 176, No. 2, 561-586 (1993; Zbl 0778.65009)] and \textit{G. C. Donovan, J. S. Geronimo} and \textit{D. P. Hardin} [SIAM J. Math. Anal. 27, No. 6, 1791-1815 (1996; Zbl 0857.42023)]. A specific set of scaling functions and associated multiwavelets with symmetry properties, is constructed.
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1512545
zbMATH Keywords: compactly supported multiwavelets
zbMATH Keywords: compactly supported scaling functions
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
full work available at URL: acha.2000.0312
OpenAlex ID: W2071963389
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DOI: 10.1006/ACHA.2000.0312
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description: scientific article; zbMATH DE number 1512545