The Marchenko representation of reflectionless Jacobi and Schrödinger operators

Hur, Injo; McBride, Matt; Remling, Christian

doi:10.1090/S0002-9947-2015-06527-1

The Marchenko representation of reflectionless Jacobi and Schrödinger operators
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by Injo Hur, Matt McBride and Christian Remling PDF

Trans. Amer. Math. Soc. 368 (2016), 1251-1270 Request permission

Abstract:

We consider Jacobi matrices and Schrödinger 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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