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ON A PALEY-WIENER THEOREM FOR THE ZS-AKNS SCATTERING TRANSFORMWalker, Ryan D. 01 January 2013 (has links)
In this thesis, we establish an analog of the Paley-Wiener Theorem for the ZS-AKNS scattering transform on a set of real potentials. We also demonstrate one application of our techniques to the study of an inverse spectral problem for a half-line Miura potential Schroedinger equation.
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