Abstract
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 associatedm-function near −∞. The proof given is based on relations between the classical transformation operators and them-function.
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Knudsen, K. On a local uniqueness result for the inverse Sturm-Liouville problem. Ark. Mat. 39, 361–373 (2001). https://doi.org/10.1007/BF02384561
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DOI: https://doi.org/10.1007/BF02384561