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

Kim Knudsen

doi:10.1007/BF02384561

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Home > Journals > Ark. Mat. > Volume 39 > Issue 2 > Article

October 2001 On a local uniqueness result for the inverse Sturm-Liouville problem

Kim Knudsen

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Kim Knudsen¹
¹Department of Mathematical Sciences, Aalborg University

Ark. Mat. 39(2): 361-373 (October 2001). DOI: 10.1007/BF02384561

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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 associated m-function near −∞. The proof given is based on relations between the classical transformation operators and the m-function.

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Kim Knudsen. "On a local uniqueness result for the inverse Sturm-Liouville problem." Ark. Mat. 39 (2) 361 - 373, October 2001. https://doi.org/10.1007/BF02384561