Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background

Mathematics – Spectral Theory

Scientific paper

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7 pages

Scientific paper

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.

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