Scattering Theory for Jacobi Operators with Steplike Quasi-Periodic Background

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dc.creatorEgorova, Iryna
dc.creatorMichor, Johanna
dc.creatorTeschl, Gerald
dc.date2006-08-28
dc.date2007-03-19
dc.date.accessioned2026-07-07T08:08:07Z
dc.date.available2026-07-07T08:08:07Z
dc.descriptionWe develop direct and inverse scattering theory for Jacobi operators with steplike quasi-periodic finite-gap background in the same isospectral class. We derive the corresponding Gel'fand-Levitan-Marchenko equation and find minimal scattering data which determine the perturbed operator uniquely. In addition, we show how the transmission coefficients can be reconstructed from the eigenvalues and one of the reflection coefficients.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0608692
dc.identifierhttp://arxiv.org/abs/math/0608692
dc.identifierInverse Problems 23, 905-918 (2007)
dc.identifierdoi:10.1088/0266-5611/23/3/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131155
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject47B36, 81U40; 34L25, 39A11
dc.titleScattering Theory for Jacobi Operators with Steplike Quasi-Periodic Background
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