Oversampling Operators: Frame Representation of Operators

For a numerical solution of operator equations a discretization of the operators is necessary. In the well-known Boundary Element Method (BEM) the Galerkin approach uses bases to do that. Frames are often easier or faster to construct than bases. Here we look at the matrix representation of opera...

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Bibliographic Details
Main Authors:	Peter Balazs, Georg Rieckh
Format:	Article
Language:	English
Published:	Eftimie Murgu University of Resita 2011-09-01
Series:	Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie
Subjects:	Frames matrix representation discretization of operators operator equations.
Online Access:	http://anale-ing.uem.ro/2011/B11.pdf

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spelling	doaj-86730a2ea2ee4ff0905d27fa2384ef452020-11-25T03:19:34ZengEftimie Murgu University of ResitaAnalele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie1453-73971453-73972011-09-01XVIII2107114Oversampling Operators: Frame Representation of Operators Peter Balazs0Georg Rieckh 1Acoustics Research InstituteAcoustics Research InstituteFor a numerical solution of operator equations a discretization of the operators is necessary. In the well-known Boundary Element Method (BEM) the Galerkin approach uses bases to do that. Frames are often easier or faster to construct than bases. Here we look at the matrix representation of operators using frames. We give a survey over the basic results, with particular focus on the invertibility of the involved systems. http://anale-ing.uem.ro/2011/B11.pdfFramesmatrix representationdiscretization of operatorsoperator equations.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Peter Balazs Georg Rieckh
spellingShingle	Peter Balazs Georg Rieckh Oversampling Operators: Frame Representation of Operators Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie Frames matrix representation discretization of operators operator equations.
author_facet	Peter Balazs Georg Rieckh
author_sort	Peter Balazs
title	Oversampling Operators: Frame Representation of Operators
title_short	Oversampling Operators: Frame Representation of Operators
title_full	Oversampling Operators: Frame Representation of Operators
title_fullStr	Oversampling Operators: Frame Representation of Operators
title_full_unstemmed	Oversampling Operators: Frame Representation of Operators
title_sort	oversampling operators: frame representation of operators
publisher	Eftimie Murgu University of Resita
series	Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie
issn	1453-7397 1453-7397
publishDate	2011-09-01
description	For a numerical solution of operator equations a discretization of the operators is necessary. In the well-known Boundary Element Method (BEM) the Galerkin approach uses bases to do that. Frames are often easier or faster to construct than bases. Here we look at the matrix representation of operators using frames. We give a survey over the basic results, with particular focus on the invertibility of the involved systems.
topic	Frames matrix representation discretization of operators operator equations.
url	http://anale-ing.uem.ro/2011/B11.pdf
work_keys_str_mv	AT peterbalazs oversamplingoperatorsframerepresentationofoperators AT georgrieckh oversamplingoperatorsframerepresentationofoperators
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Oversampling Operators: Frame Representation of Operators

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