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On a local uniqueness result for the inverse Sturm--Liouville problem (Q1810322)

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scientific article; zbMATH DE number 1928880
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English
On a local uniqueness result for the inverse Sturm--Liouville problem
scientific article; zbMATH DE number 1928880

    Statements

    On a local uniqueness result for the inverse Sturm--Liouville problem (English)
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    16 June 2003
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    A new and fairly elementary proof is given that the potential in a Sturm-Liouville operator is determined by the asymptotics of the associated m-function. The proof given is based on relations between the classical transformation operators and the m-function.
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