Inverse scattering problem for a special class of canonical systems and non-linear Fourier integral. Part I: asymptotics of eigenfunctions

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dc.creatorKupin, S.
dc.creatorPeherstorfer, F.
dc.creatorVolberg, A.
dc.creatorYuditskii, P.
dc.date2005-11-04
dc.date.accessioned2026-07-07T06:50:27Z
dc.date.available2026-07-07T06:50:27Z
dc.descriptionAn original approach to the inverse scattering for Jacobi matrices was suggested in a recent paper by Volberg-Yuditskii. The authors considered quite sophisticated spectral sets (including Cantor sets of positive Lebesgue measure), however they did not take into account the mass point spectrum. This paper follows similar lines for the continuous setting with an absolutely continuous spectrum on the half-axis and a pure point spectrum on the negative half-axis satisfying the Blaschke condition. This leads us to the solution of the inverse scattering problem for a class of canonical systems that generalizes the case of Sturm-Liouville (Schrödinger) operator.
dc.description33 pages; a preliminary version
dc.identifierhttps://arxiv.org/abs/math-ph/0511016
dc.identifierhttp://arxiv.org/abs/math-ph/0511016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104672
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject34L40, 42C05, 34L25, 81U40
dc.titleInverse scattering problem for a special class of canonical systems and non-linear Fourier integral. Part I: asymptotics of eigenfunctions
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