Inverse resonance scattering for Jacobi operators

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dc.creatorKorotyaev, Evgeny
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:33Z
dc.date.available2026-07-07T09:57:33Z
dc.descriptionWe consider the Jacobi operator $(Jf)_n= a_{n-1}f_{n-1}+a_nf_{n+1}+b_nf_n$ on $\Z$ with a real compactly supported sequences $(a_n-1)_{n\in\Z}$ and $(b_n)_{n\in\Z}$. We give the solution of two inverse problems (including characterization): $ (a,b)\to \{$zeros of the reflection coefficient$\}$ and $(a,b)\to \{$bound states and resonances$\}$. We describe the set of "iso-resonance operators $J$", i.e., all operators $J$ with the same resonances and bound states.
dc.identifierhttps://arxiv.org/abs/0808.2805
dc.identifierhttp://arxiv.org/abs/0808.2805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167383
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject81Q10
dc.titleInverse resonance scattering for Jacobi operators
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