mp_arc abstract

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
(28K, LaTeX2e)

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.