Below is the ascii version of the abstract for 08-169. The html version should be ready soon.

Iryna Egorova and Gerald Teschl
Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds
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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.