IV: Analysis of Operators
Published on 26. May 1978
325 pages
978-0-08-057045-7 (ISBN)
Description
BESTSELLER of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical PhysicsThis revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.
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05/1978
Academic Press
€179.51
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Content
- Front Cover
- Methods of Modern Mathematical Physics IV: Analysis of Operators
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Introduction
- Contents of Other Volumes
- XII: PERTURBATION OF POINT SPECTRA
- 1. Finite-dimensional perturbation theory
- Appendix Algebraic and geometric multiplicity ofeigenvalues of finite matrices
- 2. Regular perturbation theory
- 3. Asymptotic perturbation theory
- 4. Summability methods in perturbation theory
- 5. Spectral concentration
- 6. Resonances and the Fermi golden rule
- Notes
- Problems
- XIII: SPECTRALAN ALYSIS
- 1. The min-max principle
- 2. Bound states of Schrodinger operators I: Quantitative methods
- 3. Bound states of Schrodinger operators II: Qualitative theory
- 4. Locating the essential spectrum I: Weyl's theorem
- 5. Locating the essential spectrum III: The HVZ theorem
- 6. The absence of singular continuous spectrum II:General theory
- 7. The absence of singular continuous spectrum II:Smooth perturbations
- 8. The absence of singular continuous spectrum III:Weighted L2 spaces
- 9. The spectrum of tensor products
- 10. The absence of singular continuous spectrum IV:Dilation analytic potentials
- 11. Properties of eigenfunctions
- 12. Nondegeneracy of the ground state
- Appendix 1 The Beurling-Deny criteria
- Appendix 2 The Levy-Khintchine formula
- 13. Absence of positive eigenvalues
- Appendix Unique continuation theorems for Schrodinger operators
- 14. Compactness criteria and operators with compact resolvent
- 15. The asymptotic distribution of eigenvalues
- 16. Schrodinger operators with periodic potentials
- 17. An introduction to the spectral theory ofnon-self-adjoint operators
- Notes
- Problems
- List of Symbols
- Index
