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math.SP2007★ 4 cited
Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
We develop direct and inverse scattering theory for Jacobi operators with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients o…
math.SP2005★ 35 cited
Scattering Theory for Jacobi Operators with Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation…