The Marchenko representation of reflectionless Jacobi and Schrodinger operators

Published 29 Jan 2014 in math.SP | (1401.7704v1)

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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