Mathematics and Its Applications

1. The Weyl-Hormander Calculus of Pseudodifferential Operators.- x1. Classes of Symbols.- x2. Estimates for Solutions of Schrodinger-Type Equations.- x3. The Fundamental Theorems of Calculus.- x4. Continuity of Pseudodifferential Operators.- x5. Weight Spaces of Sobolev Type.- x6. Action of Pseudodifferential Operators in Weight Spaces.- 2. Basic Theorems of the Method of Approximate Spectral Projection for Scalar and Matrix Operators.- x7. Formulation of the Basic Theorems.- x8. Auxiliary Propositions.- x9. Proof of Theorem 7.2 for the Scalar Case.- x10. Proof of Theorem 7.3 for the Scalar Case.- x11. Proofs of Theorems 7.2 and 7.3 for the Matrix Case.- x12. Proofs of Theorems 7.1, 7.4, and 7.5.- 3. Operators in a Bounded Domain.- x13. Douglis-Nirenberg Elliptic Operators. Dirichlet-Type Problems.- x14. General Boundary Value Problems for Elliptic Operators.- x15. Problems with Resolvable Constraints.- x16. Electromagnetic Resonator.- x17. Asymptotics of the Discrete Spectrum of Douglis-Nirenberg Operators with a Totally Disconnected Essential Spectrum.- x18. Linearized Stationary Navier-Stokes System.- x19. Asymptotics for Eigenfrequencies of a Shell in a Vacuum.- 4. Operators in Unbounded Domains.- x20. Schrodinger Operators with Increasing Potential.- x21. Asymptotics of a Discrete Spectrum of Schrodinger Operators and Dirac Operators with Decreasing Potentials.- 5. Asymptotics of the Spectrum of Pseudodifferential Operators with Operator-Valued Symbols and Some Applications.- x22. Pseudodifferential Operators with Operator-Valued Symbols.- x23. Boundary Value Problems in Strongly Anisotropic Domains.- 6. Degenerate Differential Operators.- x24. General Analysis of Degenerate Operators and Generalizations of the Weyl Formula.- x25. Schrodinger Operators with Degenerate Homogeneous Potential.- x26. Model Problems for Degenerate Differential Operators in a Bounded Domain.- x27. Degenerate Differential Operators in a Bounded Domain.- x28. Degenerate Differential Operators in an Unbounded Domain.- Appendix: Basic Variational Theorems.- A Brief Review of the Bibliography.- Notation Index.