Oper. Theory Adv. Appl., 174, Birkhäuser, Basel, 2007.
Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background
J. Michor and G. Teschl
Keywords: Scattering, Toda hierarchy, Trace formulas.
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.
MSC: Primary 47B36, 37K15; Secondary 81U40, 39A11.