Asymptotic Moore-Penrose invertibility of singular integral operators
type: Item
instance of: scholarly article
title: Asymptotic Moore-Penrose invertibility of singular integral operators
zbMATH Open document ID: 0860.65145
DOI: 10.1007/BF01229506
author: Steffen Roch
author: B. Silbermann
published in: Integral Equations and Operator Theory
publication date: 1997-04-14T00:00:00Z
review text: The asymptotic Moore-Penrose inversion of singular integral operators by means of trigonometric collocation and the finite section method is studied. Both weak and strong versions of these methods are considered. The authors derive necessary and sufficient conditions for the applicability of the weak method and sufficient conditions for the strong method. These conditions involve a certain asymptotic resp. exact kernel structure of the approximation matrices.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 938768
zbMATH Keywords: asymptotic Moore-Penrose inversion
zbMATH Keywords: singular integral operators
zbMATH Keywords: trigonometric collocation
zbMATH Keywords: finite section method
reviewed by: Josef Kofroň
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01229506
OpenAlex ID: W2071461333
description: scientific article; zbMATH DE number 938768