The Marchenko representation of reflectionless Jacobi and Schrodinger operators
classification
🧮 math.SP
keywords
jacobimarchenkooperatorsreflectionlessschrodingerapplicationscertainclass
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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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