Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background
arXiv:math/0506540 · doi:10.1007/978-3-7643-8135-6_6
Abstract
We investigate trace formulas for Jacobi operators which are trace class perturbations of quasi-periodic finite-gap operators using Krein's spectral shift theory. In particular we establish the conserved quantities for the solutions of the Toda hierarchy in this class.
7 pages
References in corpus (2)
Cited by in corpus (8)
- Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic Background
- Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited
- Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
- Scattering Theory for Jacobi Operators with Steplike Quasi-Periodic Background
- Trace Formulas for Schroedinger Operators in Connection with Scattering Theory for Finite-Gap Backgrounds
- Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data
- Stability of the Periodic Toda Lattice: Higher Order Asymptotics