On a local uniqueness result for the inverse Sturm-Liouville problem |
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Authors: | Kim Knudsen |
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Affiliation: | 1. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220, Aalborg ?, Denmark
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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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