05-230 Johanna Michor and Gerald Teschl

Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background (18K, LaTeX) Jun 27, 05

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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.

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