Periodic Jacobi operator with finitely supported perturbation on the half-lattice

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Periodic Jacobi operator with finitely supported perturbation on the half-lattice

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Publication Article, peer reviewed scientific
Title Periodic Jacobi operator with finitely supported perturbation on the half-lattice
Author Iantchenko, Alexei ; Korotyaev, Evgeny
Date 2011
English abstract
We consider the periodic Jacobi operator $J$ with finitely supported perturbations on the half-lattice. We describe all eigenvalues and resonances of $J$ and give their properties. We solve the inverse resonance problem: we prove that the mapping from finitely supported perturbations to the Jost functions is one-to-one and onto, we show how the Jost functions can be reconstructed from the eigenvalues, resonances and the set of zeros of $S(\l)-1,$ where $S(\l)$ is the scattering matrix.
DOI https://doi.org/10.1088/0266-5611/27/11/115003 (link to publisher's fulltext.)
Link http://arxiv.org/abs/1004.2664 .Icon
Publisher IOP Publishing
Host/Issue Inverse problems;11
Volume 27
ISSN 0266-5611
Language eng (iso)
Subject Jacobi
resonances
periodic
Sciences
Research Subject Categories::MATHEMATICS
Handle http://hdl.handle.net/2043/12605 Permalink to this page
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