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

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 Publication Conference Paper, other Title Periodic Jacobi operator with finitely supported perturbation on the half-lattice Author 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. Language eng (iso) Subject SciencesResearch Subject Categories::MATHEMATICSResearch Subject Categories::NATURAL SCIENCES Note Maths2010 British Mathematical Colloquium and British Applied Mathemat... (see Details for more) Handle http://hdl.handle.net/2043/11450 Permalink to this page Link http://www.icms.org.uk/workshops/maths2010... (external link to related web page) http://www.maths2010.org.uk/Home.php... (external link to related web page)
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