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| Table of Contents Introduction Notation 1 On Fredholmness of Singular Type Operators 1 Fredholm operators 2 Singular integral operators with piecewise continuous coefficients in the space L〔subscript p〕（〔gamma〕） 3 On Fredholmness of convolution type operators 4 Bibliographic notes to Chapter 1 2 On Fredholmness of Other Singular-type Operators 5 On operators with homogeneous kernels； the one-dimensional case 6 Operators with homogeneous kernels； the multi-dimensional case 7 Convolution-type operators with discontinuous symbols 8 Bibliographic notes to Chapter 2 3 Functional and Singular Integral Equations with Carleman Shifts in the Case of Continuous Coefficients 9 Carleman and generalized Carleman shifts 10 A functional equation with shift 11 Singular integral equations with Carleman shift on a closed curve； the case of continuous coefficients 12 Singular integral equations with Carleman shift on an open curve； the case of continuous coefficients 13 Bibliographic notes to Chapter 3 4 Two-term Equations （A+QB）〔phi〕 = f with an Involutive Operator Q； an Abstract Approach and Applications 14 Fredholmness of an abst equation with an involutive operator； non-matrix approach 15 Application to singular integral equations with complex conjugate unknowns 16 Applications to integral equations on the real line with reflection or inversion 17 Application to singular integral equations with Carleman shift on an open curve； the case of discontinuous coefficients 18 Singular integral equations with a fractional linear shift in the space L〔superscript p〕 with a special weight 19 Fredholmness of abst equations with a generalized involutive operator （non-matrix approach） 20 Abstract equations with algebraic operators 21 Bibliographic notes to Chapter 4 5 Equations with Several Generalized Involutive Operators, Matrix Abstract Approach and Applications 22 Fredholmness of abst equations with generalized involutive operators （matrix approach） 23 Singular integral equations with a finite group of shifts in the case of continuous coefficients 24 Singular integral equations with a finite group of shifts （the case of piecewise continuous coefficients） 25 Convolution type equations with shifts and complex conjugation 261 26 Bibliographic notes to Chpater 5 6 Application of the Abstract Approach to Singular Equation on the Real Line with Fractional Linear Shift 27 Singular integral operators perturbed by integral operators with homogeneous kernels 28 Singular integral operators with a fractional linear Carleman shift in the weighted space L〔subscript p〕〔superscript 〔gamma〕〕 （R〔superscript 1〕） 29 Equations including operators with homogeneous kernels, the singular integral operators and the inversion shift 30 Potential type operators on the real line with a fractional linear Carleman shift 31 Generalized Carleman fractional linear shifts on the real line 32 Singular integral equations with a generalized Carleman fractional linear shift 33 Bibliographic Notes to Chapter 6 7 Application to Hankel Type and Multidimensional Integral Equations 34 Convolution integral equations of Hankel type 35 Some multidimensional singular type equations with shifts 36 Bibliographic Notes to Chapter 7 Bibliography Index List of Symbols |
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