Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach

Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations rela...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Didenko, Victor D., Silbermann, Bernd, 1941- (Awdur), Silbermann, Bernd (Awdur)
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Rhifyn:1st ed. 2008.
Cyfres:Frontiers in Mathematics
Pynciau:
Mynediad Ar-lein:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nodyn: L'impression du document génère 313 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Approximation of additive convolution-like operators, real C*-algebra approach, Victor D. Didenko, Bernd Silbermann, 2008, Basel, Birkhäuser, 1 vol. (XII-306 p.), Frontiers in mathematics, 978-3-7643-8750-1
• Approximation of Additive Convolution-Like Operators, Texte imprimé, 9783764398217
• Approximation of additive convolution-like operators, real C*-algebra approach, Victor D. Didenko, Bernd Silbermann, 2008, Basel, Birkhäuser, 1 vol. (XII-306 p.), Frontiers in mathematics, 978-3-7643-8750-1
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100 1 |a Didenko, Victor D. 
245 1 0 |a Approximation of Additive Convolution-Like Operators :  |b Real C*-Algebra Approach   |c Victor D. Didenko, Bernd Silbermann. 
250 |a 1st ed. 2008. 
260 |a Basel :  |b Birkhäuser Basel. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Frontiers in Mathematics  |x 1660-8054 
500 |a L'impression du document génère 313 p. 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a Complex and Real Algebras Approximation of Additive Integral Operators on Smooth Curves Approximation Methods for the Riemann-Hilbert Problem Piecewise Smooth and Open Contours Approximation Methods for the Muskhelishvili Equation Numerical Examples 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory. However,invariousapplicationsthereoftenarisecontinuousoperatorsacting on complex Banach spaces that are not linear but only additive i. e. , A(x+y)= Ax+Ay for all x,y from a given Banach space. It is easily seen that additive operators 1 are R-linear provided they are continuous 
650 |a Convolutions (mathématiques) 
650 |a C*-algèbres 
700 1 |a Silbermann, Bernd,  |d 1941-  |4 aut 
700 1 |a Silbermann, Bernd.  |4 aut 
776 0 |0 12728303X  |t Approximation of additive convolution-like operators  |o real C*-algebra approach  |f Victor D. Didenko, Bernd Silbermann  |d 2008  |c Basel  |n Birkhäuser  |p 1 vol. (XII-306 p.)  |s Frontiers in mathematics  |z 978-3-7643-8750-1 
776 0 |t Approximation of Additive Convolution-Like Operators  |b Texte imprimé  |z 9783764398217 
776 0 |0 12728303X  |t Approximation of additive convolution-like operators  |o real C*-algebra approach  |f Victor D. Didenko, Bernd Silbermann  |d 2008  |c Basel  |n Birkhäuser  |p 1 vol. (XII-306 p.)  |s Frontiers in mathematics  |z 978-3-7643-8750-1 
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