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

✍ Scribed by Victor Didenko, Bernd Silbermann

Publisher
BirkhÀuser Basel
Year
2010
Tongue
English
Leaves
313
Series
Frontiers in Mathematics
Edition
1
Category
Library
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✦ Synopsis

This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods.

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