AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Semiclassical Analysis
About this Title
Maciej Zworski, University of California, Berkeley, Berkeley, CA
Publication: Graduate Studies in Mathematics
Publication Year:
2012; Volume 138
ISBNs: 978-0-8218-8320-4 (print); 978-0-8218-8995-4 (online)
DOI: https://doi.org/10.1090/gsm/138
MathSciNet review: MR2952218
MSC: Primary 58J40; Secondary 35P05, 35S05, 81Q20
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- Chapter 1. Introduction
Part 1. Basic theory
- Chapter 2. Symplectic geometry and analysis
- Chapter 3. Fourier transform, stationary phase
- Chapter 4. Semiclassical quantization
Part 2. Applications to partial differential equations
- Chapter 5. Semiclassical defect measures
- Chapter 6. Eigenvalues and eigenfunctions
- Chapter 7. Estimates for solutions of PDE
Part 3. Advanced theory and applications
- Chapter 8. More on the symbol calculus
- Chapter 9. Changing variables
- Chapter 10. Fourier integral operators
- Chapter 11. Quantum and classical dynamics
- Chapter 12. Normal forms
- Chapter 13. The FBI transform
Part 4. Semiclassical analysis on manifolds
- Chapter 14. Manifolds
- Chapter 15. Quantum ergodicity
Appendices
- Appendix A. Notation
- Appendix B. Differential forms
- Appendix C. Functional analysis
- Appendix D. Fredholm theory