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The Marchenko representation of reflectionless Jacobi and Schrodinger operators (1401.7704v1)
Published 29 Jan 2014 in math.SP
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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