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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.
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