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arXiv · 1401.7704

The Marchenko representation of reflectionless Jacobi and Schrodinger operators

Injo Hur·Matt McBride·Christian Remling
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Abstract

We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms of suitable spectral data, that is due to Marchenko. Then some applications of these ideas are discussed.

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Injo Hur, Matt McBride, Christian Remling. 2014-01-29. The Marchenko representation of reflectionless Jacobi and Schrodinger operators. https://arxiv.org/abs/1401.7704

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