Asymptotic distribution of eigenvalues of differential operators

Content: 1. The Weyl-Hoermander Calculus of Pseudodifferential Operators.- 1. Classes of Symbols.- 2. Estimates for Solutions of Schroedinger-Type Equations.- 3. The Fundamental Theorems of Calculus.- 4. Continuity of Pseudodifferential Operators.- 5. Weight Spaces of Sobolev Type.- 6. Action of Pseudodifferential Operators in Weight Spaces.- 2. Basic Theorems of the Method of Approximate Spectral Projection for Scalar and Matrix Operators.- 7. Formulation of the Basic Theorems.- 8. Auxiliary Propositions.- 9. Proof of Theorem 7.2 for the Scalar Case.- 10. Proof of Theorem 7.3 for the Scalar Case.- 11. Proofs of Theorems 7.2 and 7.3 for the Matrix Case.- 12. Proofs of Theorems 7.1, 7.4, and 7.5.- 3. Operators in a Bounded Domain.- 13. Douglis-Nirenberg Elliptic Operators. Dirichlet-Type Problems.- 14. General Boundary Value Problems for Elliptic Operators.- 15. Problems with Resolvable Constraints.- 16. Electromagnetic Resonator.- 17. Asymptotics of the Discrete Spectrum of Douglis-Nirenberg Operators with a Totally Disconnected Essential Spectrum.- 18. Linearized Stationary Navier-Stokes System.- 19. Asymptotics for Eigenfrequencies of a Shell in a Vacuum.- 4. Operators in Unbounded Domains.- 20. Schroedinger Operators with Increasing Potential.- 21. Asymptotics of a Discrete Spectrum of Schroedinger Operators and Dirac Operators with Decreasing Potentials.- 5. Asymptotics of the Spectrum of Pseudodifferential Operators with Operator-Valued Symbols and Some Applications.- 22. Pseudodifferential Operators with Operator-Valued Symbols.- 23. Boundary Value Problems in Strongly Anisotropic Domains.- 6. Degenerate Differential Operators.- 24. General Analysis of Degenerate Operators and Generalizations of the Weyl Formula.- 25. Schroedinger Operators with Degenerate Homogeneous Potential.- 26. Model Problems for Degenerate Differential Operators in a Bounded Domain.- 27. Degenerate Differential Operators in a Bounded Domain.- 28. Degenerate Differential Operators in an Unbounded Domain.- Appendix: Basic Variational Theorems.- A Brief Review of the Bibliography.- Notation Index.