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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 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 Language eng (iso) Subject resonancesJacobi operatorsSciencesResearch Subject Categories::MATHEMATICSResearch Subject Categories::NATURAL SCIENCES Handle http://hdl.handle.net/2043/11449 Permalink to this page
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