Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds - Mathematics > Complex VariablesReport as inadecuate




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Abstract: We consider scattering theory for one-dimensional Jacobi operators withrespect to steplike quasi-periodic finite-gap backgrounds and show how thetransmission coefficient can be reconstructed from minimal scattering data.This generalizes the Poisson-Jensen formula for the classical constantbackground case.



Author: Iryna Egorova, Gerald Teschl

Source: https://arxiv.org/







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