On an inverse problem for finite-difference operators of second order

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dc.creatorKudryavtsev, Mikhail
dc.date2001-10-25
dc.date.accessioned2026-07-07T04:44:04Z
dc.date.available2026-07-07T04:44:04Z
dc.descriptionThe Jacobi matrices with bounded elements whose spectrum of multiplicity 2 is separated from its simple spectrum and contains an interval of absolutely continuous spectrum are considered. A new type of spectral data, which are analogous for scattering data, is introduced for this matrix. An integral equation that allows us to reconstruct the matrix from this spectral data is obtained. We use this equation to solve the Cauchy problem for the Toda lattice with the initial data that are not stabilized.
dc.description47 pages
dc.identifierhttps://arxiv.org/abs/math/0110276
dc.identifierhttp://arxiv.org/abs/math/0110276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62489
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject35G25; 34A15
dc.titleOn an inverse problem for finite-difference operators of second order
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