Scattering Theory for Jacobi Operators with Quasi-Periodic Background

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dc.creatorEgorova, Iryna
dc.creatorMichor, Johanna
dc.creatorTeschl, Gerald
dc.date2005-06-07
dc.date.accessioned2026-07-07T06:30:29Z
dc.date.available2026-07-07T06:30:29Z
dc.descriptionWe 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 operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0506119
dc.identifierhttp://arxiv.org/abs/math/0506119
dc.identifierComm. Math. Phys. 264-3, 811-842 (2006)
dc.identifierdoi:10.1007/s00220-006-1518-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98354
dc.subjectSpectral Theory
dc.subject47B36, 81U40
dc.titleScattering Theory for Jacobi Operators with Quasi-Periodic Background
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