Jacobi operators and complete integrable nonlinear lattices
Title:
Jacobi operators and complete integrable nonlinear lattices
JLCTITLE245:
Gerald Teschl.
Personal Author:
Publication Information:
Providence, RI : American Mathematical Society, c2000.
Physical Description:
xvii, 351 p. ; 26 cm.
ISBN:
9780821819401
Bibliography Note:
Includes bibliographical references (p. 333-342) and index.
Contents:
Pt. 1. Jacobi Operators. Ch. 1. Jacobi operators. Ch. 2. Foundations of spectral theory for Jacobi operators. Ch. 3. Qualitative theory of spectra. Ch. 4. Oscillation theory. Ch. 5. Random Jacobi operators. Ch. 6. Trace formulas. Ch. 7. Jacobi operators with periodic coefficients. Ch. 8. Reflectionless Jacobi operators. Ch. 9. Quasi-periodic Jacobi operators and Riemann theta functions. Ch. 10. Scattering theory. Ch. 11. Spectral deformations - Commutation methods -- Pt. 2. Completely Integrable Nonlinear Lattices. Ch. 12. The Toda system. Ch. 13. The initial value problem for the Toda system. Ch. 14. The Kac-van Moerbeke system -- App. A. Compact Riemann surfaces - a review -- App. B. Herglotz functions -- App. C. Jacobi Difference Equations with Mathematica.