Approximation of Additive Convolution-Like Operators

Language: English

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2008, 2008

3764387505 / 9783764387501

Series: Book 11 of 48 - Frontiers in Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 306 pp. Englisch.

Seller Inventory # 9783764387501

Title
Approximation of Additive Convolution-Like Operators
Author
Victor Didenko
Publisher
Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2008
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3764387505
ISBN 13
9783764387501
Item weight
634 grams
Dimensions
240x192x36 mm
Series
Book 11 of 48: Frontiers in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First itemUS$ 26.71US$ 26.71
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BuchWeltWeit Ludwig Meier e.K.

Germany