000 00409nam a2200145Ia 4500
999 _c170273
_d170273
020 _a9780387945019
040 _cCUS
082 _a515.7222
_bHIS/I
100 _aHislop, P.D.
245 0 _aIntroduction to spectral theory: with applications to Schrödinger operators/
_cP.D. Hislop and I.M. Sigal
260 _aNew York:
_bSpringer,
_c1996.
300 _aix, 337 p. :
_bill. ;
_c25 cm.
440 _a(Applied mathematical sciences)
_vv. 113
505 _a1. 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.
650 _aSpectral theory
650 _aMathematics
700 _aSigal, I.M.
942 _cWB16