Decomposition of refinable spaces and applications to operator equations
type: Item
instance of: scholarly article
title: Decomposition of refinable spaces and applications to operator equations
zbMATH Open document ID: 0790.65098
DOI: 10.1007/BF02210384
author: Wolfgang Dahmen
published in: Numerical Algorithms
publication date: 1994-06-23T00:00:00Z
review text: This paper presents a brief survey of several recent applications of multilevel techniques, in particular, in connection with the solution of periodic pseudo-differential equations. It is pointed outthat these applications naturally lead to certain decompositions of refinable spaces which are induced by a class of linear projectors. Then recent results on the construction of such nonorthogonal wavelets are reviewed and extended to the particular needs of the present context.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35S15
zbMATH DE Number: 510202
zbMATH Keywords: survey
zbMATH Keywords: multilevel techniques
zbMATH Keywords: periodic pseudo-differential equations
zbMATH Keywords: decompositions of refinable spaces
zbMATH Keywords: linear projectors
zbMATH Keywords: nonorthogonal wavelets
reviewed by: S. F. McCormick
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02210384
OpenAlex ID: W1999053553
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description: scientific article; zbMATH DE number 510202