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Physical Sciences and Mathematics Commons

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Mathematics

University of Kentucky

2013

Nonlinear Paley-Wiener Theorem

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Full-Text Articles in Physical Sciences and Mathematics

On A Paley-Wiener Theorem For The Zs-Akns Scattering Transform, Ryan D. Walker Jan 2013

On A Paley-Wiener Theorem For The Zs-Akns Scattering Transform, Ryan D. Walker

Theses and Dissertations--Mathematics

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.