TY - BOOK AU - Hislop, P.D. AU - Sigal, I.M. TI - Introduction to spectral theory: with applications to Schrödinger operators SN - 9780387945019 U1 - 515.7222 PY - 1996/// CY - New York PB - Springer KW - Spectral theory KW - Mathematics N1 - 1. The Spectrum of Linear Operators and Hilbert Spaces -- 2. The Geometry of a Hilbert Space and Its Subspaces -- 3. Exponential Decay of Eigenfunctions -- 4. Operators on Hilbert Spaces -- 5. Self-Adjoint Operators -- 6. Riesz Projections and Isolated Points of the Spectrum -- 7. The Essential Spectrum: Weyl's Criterion -- 8. Self-Adjointness: Part 1. The Kato Inequality -- 9. Compact Operators -- 10. Locally Compact Operators and Their Application to Schrodinger Operators -- 11. Semiclassical Analysis of Schrodinger Operators I: The Harmonic Approximation -- 12. Semiclassical Analysis of Schrodinger Operators II: The Splitting of Eigenvalues -- 13. Self-Adjointness: Part 2. The Kato -- Rellich Theorem -- 14. Relatively Compact Operators and the Weyl Theorem -- 15. Perturbation Theory: Relatively Bounded Perturbations -- 16. Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem -- 17. Spectral Deformation Theory ER -