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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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1

ON A PALEY-WIENER THEOREM FOR THE ZS-AKNS SCATTERING TRANSFORM

Walker, 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.
Scattering transform
nonlinear Paley-Wiener Theorem
Riemann-Hilbert problems
singular Schroedinger operators
Miura potentials
Analysis

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