Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds
classification
🧮 math.CV
math-phmath.MP
keywords
backgroundscoefficientfinite-gapscatteringstepliketransmissionbackgroundcase
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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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