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Inverse scattering for the 1-D Helmholtz equation

Abstract : We prove a uniqueness result for Nevanlinna functions. and this result is then used to give an elementary proof of the uniqueness in the inverse scattering problem for the Helmholtz equation on the line.
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https://hal.inria.fr/hal-01284311
Contributor : Renata Bunoiu <>
Submitted on : Monday, March 7, 2016 - 2:21:58 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM

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Renata Bunoiu, Ingrid Beltita. Inverse scattering for the 1-D Helmholtz equation. Complex Analysis and Operator Theory, Springer Verlag, 2016, 10 (4), pp.639-666. ⟨10.1007/s11785-014-0441-8⟩. ⟨hal-01284311⟩

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