Oper. Matrices 3, 205-214 (2009) [DOI: 10.7153/oam-03-11]
Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds
Iryna Egorova and Gerald Teschl
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.