Multifilters and prefilters: Uniqueness and algorithmic aspects
type: Item
instance of: scholarly article
title: Multifilters and prefilters: Uniqueness and algorithmic aspects
zbMATH Open document ID: 1155.65113
author: Mariantonia Cotronei
author: Maria Laura Lo Cascio
author: Tomas Sauer
published in: Journal of Computational and Applied Mathematics
publication date: 2008-10-22T00:00:00Z
review text: The authors characterize all valid prefilters of a given order of the simplest possible form such that the difficulties with the summation operators are intrinsic to the problem. Then, working on the symbol asssociated with the prefilter, they show that it has a simple polynomial structure such that the prefilter uses finite information only, in the sense that it maps finitely supported sequences to finitely supported sequences, at least in the cases \(p=1,2,3\). It is indicated that this is unlikely to be achieved for higher approximation orders.
reviewed by: Rémi Vaillancourt
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 5355699
zbMATH Keywords: multiwavelets
zbMATH Keywords: matrix refinement equation
zbMATH Keywords: prefiltering
MaRDI profile type: Publication
full work available at URL: j.cam.2007.10.026
OpenAlex ID: W2034323536
cites work: Multifilters with and without prefilters
cites work: A study of orthonormal multi-wavelets
cites work: Fractal functions and wavelet expansions based on several scaling functions
cites work: Q4449255
cites work: Regularity of multiwavelets
cites work: On vector subdivision
DOI: 10.1016/J.CAM.2007.10.026
description: scientific article; zbMATH DE number 5355699