08-169 Iryna Egorova and Gerald Teschl

Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds (28K, LaTeX2e) Sep 21, 08

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Abstract. We consider scattering theory for one-dimensional Jacobi operators with respect to steplike quasi-periodic finite-gap backgrounds and show how the transmission coefficient can be reconstructed from minimal scattering data. This generalizes the Poisson-Jensen formula for the classical constant background case.

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