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 Conference Paper, other
Title Periodic Jacobi operator with finitely supported perturbation on the half-lattice
Author(s) Iantchenko, Alexei
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(s) Sciences
Research Subject Categories::MATHEMATICS
Research Subject Categories::NATURAL SCIENCES
Note Maths2010 British Mathematical Colloquium and British Applied Mathematics Colloquium Apr 6, 2010- Apr 9, 2010, Edinburgh, UK
Handle http://hdl.handle.net/2043/11450 (link 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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