Periodic Jacobi operator with finitely supported perturbations

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Periodic Jacobi operator with finitely supported perturbations

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Publication Article, other scientific
Title Periodic Jacobi operator with finitely supported perturbations
Author Iantchenko, Alexei
Date 2010
English abstract
We describe the spectral properties of the Jacobi operator $(Hy)_n= a_{n-1} y_{n-1}+a_{n}y_{n+1}+b_ny_n,$ $n\in\Z,$ with $a_n=a_n^0+ u_n,$ $b_n= b_n^0+ v_n,$ where sequences $a_n^0>0,$ $b_n^0\in\R$ are periodic with period $q$, and sequences $ u_n,$ $ v_n$ have compact support. In the case $ u_n\equiv 0$ we obtain the asymptotics of the spectrum in the limit of small perturbations $ v_n.$
Link http://arxiv.org/abs/1006.1538 (external link to publication)
Host/Issue Arxiv;1006.1538
Pages 18 p
Language eng (iso)
Subject resonances
Jacobi operators
Sciences
Research Subject Categories::MATHEMATICS
Research Subject Categories::NATURAL SCIENCES
Handle http://hdl.handle.net/2043/11449 Permalink to this page
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