Introduction to spectral theory: with applications to Schrödinger operators/ P.D. Hislop and I.M. Sigal
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Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Central Library, Sikkim University General Book Section | 515.7222 HIS/I (Browse shelf(Opens below)) | Available | P25250 |
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515.7 SWA/I An introduction to functional analysis/ | 515.72 BRO/I Introduction to operator theory I: elements of functional analysis/ | 515.7222 DEM/D Determining spectra in quantum theory/ | 515.7222 HIS/I Introduction to spectral theory: with applications to Schrödinger operators/ | 515.723 DAV/I Integral transforms and their applications/ | 515.723 SCH/L The laplace transform/ | 515.724 ADA/M Modern Analysis and Applications/ |
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.
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