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Jacobi Operators and Completely Integrable Nonlinear Lattices
About this Title
Gerald Teschl, Institut für Mathematik, Universität Wien, Vienna, Austria
Publication: Mathematical Surveys and Monographs
Publication Year:
1999; Volume 72
ISBNs: 978-0-8218-1940-1 (print); 978-1-4704-1299-9 (online)
DOI: https://doi.org/10.1090/surv/072
MathSciNet review: MR1711536
MSC: Primary 39A70; Secondary 35Q58, 37K60, 39A12, 47B36, 82B23
Table of Contents
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Front/Back Matter
Chapters
- 1. Jacobi operators
- 2. Foundations of spectral theory for Jacobi operators
- 3. Qualitative theory of spectra
- 4. Oscillation theory
- 5. Random Jacobi operators
- 6. Trace formulas
- 7. Jacobi operators with periodic coefficients
- 8. Reflectionless Jacobi operators
- 9. Quasi-periodic Jacobi operators and Riemann theta functions
- 10. Scattering theory
- 11. Spectral deformations – Commutation methods
- 12. The Toda system
- 13. The initial value problem for the Toda system
- 14. The Kac-van Moerbeke system