The Marchenko representation of reflectionless Jacobi and Schrödinger operators
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- by Injo Hur, Matt McBride and Christian Remling PDF
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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.References
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Additional Information
- Injo Hur
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Email: ihur@math.ou.edu
- Matt McBride
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Email: mmcbride@math.ou.edu
- Christian Remling
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- MR Author ID: 364973
- Email: cremling@math.ou.edu
- Received by editor(s): January 29, 2014
- Published electronically: February 3, 2015
- Additional Notes: The third author’s work was supported by NSF grant DMS 1200553
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 1251-1270
- MSC (2010): Primary 34L40, 47B36, 81Q10
- DOI: https://doi.org/10.1090/S0002-9947-2015-06527-1
- MathSciNet review: 3430363