Introduction to spectral theory: with applications to Schrödinger operators/ P.D. Hislop and I.M. Sigal

By: Hislop, P.DContributor(s): Sigal, I.MMaterial type: TextTextSeries: (Applied mathematical sciences) ; v. 113Publication details: New York: Springer, 1996Description: ix, 337 p. : ill. ; 25 cmISBN: 9780387945019Subject(s): Spectral theory | MathematicsDDC classification: 515.7222
Contents:
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section
515.7222 HIS/I (Browse shelf(Opens below)) Available P25250
Total holds: 0

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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