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, other scientific
Title Periodic Jacobi operator with finitely supported perturbation on the half-lattice
Author Iantchenko, Alexei ; Korotyaev, Evgeny
Date 2010
English abstract
We consider the periodic Jacobi operator $J$ with finitely supported perturbations on $\ell^2(\N)$ subject to Dirichlet boundary condition at $n=0$. We classify all states of $J$ and give their properties. We solve the inverse resonance problem (including characterization): we prove that mapping from real perturbations to the associated regularized Jost functions is one-to-one and onto.
Link http://arxiv.org/abs/1004.2664 (external link to publication)
Host/Issue Arxiv;1004.2664
Pages 26 p
Language eng (iso)
Subject resonances
Jacobi operators
Sciences
Research Subject Categories::MATHEMATICS
Research Subject Categories::NATURAL SCIENCES
Handle http://hdl.handle.net/2043/11448 Permalink to this page
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