Singular Integral Operators
By Solomon G. Mikhlin, Siegfried Prößdorf
* Publisher: Springer
* Number Of Pages: 528
* Publication Date: 1987-01-01
* ISBN-10 / ASIN: 3540159673
* ISBN-13 / EAN: 9783540159674
* Binding: Hardcover
Summary: Complete development of the theory of singular integrals.
Rating: 5
The next step after Vekua's, Muskhelishvili's and Gakhov's treatises on singular integrals and its applications is this thick encyclopedic volume.
Including most of the topics covered in the above-mentioned texts, the authors go further to present all of the important results plus some new ones in a unified way.
Contents: Basic Facts from Functional Analysis; The One-dimensional Singular Integral; One-dimensional Singular Integral Equations with Continuous Coefficients on Closed Curves; One-dimensional Singular Integral Equations with Discontinuous Coefficients; Systems of One-dimensional Singular Equations; One-dimensional Singular Equations with Degenerate Symbol; Some Problems Leading to Singular Integral Equations; Some Further Subsidiaries; Singular Integrals of Higher Dimensions in Spaces with a Uniform Metric; The Symbol of Higher Dimensional Singular Integral Operators; Singular Integral Operators in Spaces with Integral Metric; Multidimensional Singular Integral Equations; Singular Equations on Smooth Manifolds without Boundary; Systems of Multidimensional Singular Equations; The Localization Principle, Singular Operators on Manifolds with Boundary; Mutidimensional Singular Equations with Degenerate Symbol; Methods for the Approximate Solution of One-dimensional Singular Integral Equations; Approximate Solution of Multidimensional Singular Integral Equations. References.
The book is intended for experts but most parts could (and should) be covered in graduate courses.
Please take a look at the rest of my reviews.
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