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On a local uniqueness result for the inverse Sturm-Liouville problem

Kim Knudsen Department of Mathematical Sciences, Aalborg University

TBD mathscidoc:1701.332967

Arkiv for Matematik, 39, (2), 361-373, 2000.4
A new and fairly elementary proof is given of the result by B. Simon [S], that the potential in a Sturm-Liouville operator is determined by the asymptotics of the associated$m$-function near −∞. The proof given is based on relations between the classical transformation operators and the$m$-function.
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@inproceedings{kim2000on,
  title={On a local uniqueness result for the inverse Sturm-Liouville problem},
  author={Kim Knudsen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203602809499776},
  booktitle={Arkiv for Matematik},
  volume={39},
  number={2},
  pages={361-373},
  year={2000},
}
Kim Knudsen. On a local uniqueness result for the inverse Sturm-Liouville problem. 2000. Vol. 39. In Arkiv for Matematik. pp.361-373. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203602809499776.
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