Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

Introduction. 1. Preliminaries. 2. Binomial boundary value problems with shift for a piecewise analytic function and for a pair of functions analytic in the same domain. 3. Carleman boundary value problems and boundary value problems of Carleman type. 4. Solvability theory of the generalized Riemann boundary value problem. 5. Solvability theory of singular integral equations with a Carleman shift and complex conjugated boundary values in the degenerated and stable cases. 6. Solvability theory of general characteristic singular integral equations with a Carleman fractional linear shift on the unit circle. 7. Generalized Hilbert and Carleman boundary value problems for functions analytic in a simply connected domain. 8. Boundary value problems with a Carleman shift and complex conjugation for functions analytic in a multiply connected domain. 9. On solvability theory for singular integral equations with a non-Carleman shift. References. Subject index.