Johanna Michor and Gerald Teschl
Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background
(18K, LaTeX)
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.