Oversampling Operators: Frame Representation of Operators

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
Description
Summary: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.
ISSN:1453-7397
1453-7397

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