Scattering theory for Jacobi operators with quasi-periodic background (Q865060)
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| Language | Label | Description | Also known as |
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| English | Scattering theory for Jacobi operators with quasi-periodic background |
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Scattering theory for Jacobi operators with quasi-periodic background (English)
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13 February 2007
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The authors develop a direct and inverse scattering theory for infinite Jacobi (singular second-order difference) operators which are short range perturbations of quasi-periodic finite-gap operators. Also, they show the existence of transformation operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.
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inverse scattering theory
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quasi-periodic finite-gap operators
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Gel'fand-Levitan-Marchenko equation
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difference operators
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