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
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.