Subdivision schemes with polynomially decaying masks
type: Item
instance of: scholarly article
title: Subdivision schemes with polynomially decaying masks
zbMATH Open document ID: 1189.65319
author: S. Li
author: Yali Pan
published in: Advances in Computational Mathematics
publication date: 2010-04-19T00:00:00Z
review text: The \(L_2\)-solutions of vector refinement equations with polynomially decaying masks and a general dilation matrix, which plays a vital role for characterizations of wavelets and biorthogonal wavelets with infinite support are studied here [cf. \textit{B. Han} and \textit{R.-Q. Jia}, Appl. Comput. Harmon. Anal. 23, 321--345 (2007; Zbl 1141.42023)]. Some basic properties the cascade operator and the transition operator are shown. A necessary and sufficient condition for the convergence of certain subdivision schemes has also been given.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 5694696
zbMATH Keywords: refinement equations
zbMATH Keywords: infinite refinement mask
zbMATH Keywords: cascade algorithm
zbMATH Keywords: transition operator
zbMATH Keywords: wavelets
zbMATH Keywords: convergence
zbMATH Keywords: subdivision schemes
MaRDI profile type: Publication
full work available at URL: s10444-009-9116-9
OpenAlex ID: W2046278988
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DOI: 10.1007/S10444-009-9116-9
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description: scientific article; zbMATH DE number 5694696