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arXiv · 0809.3589

Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds

Iryna Egorova·Gerald Teschl
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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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Iryna Egorova, Gerald Teschl. 2009-05-22. Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds. https://doi.org/10.7153/oam-03-11

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