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

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

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.

Bibliographic Details
Main Author: Walker, Ryan D.
Format: Others
Published: UKnowledge 2013
Subjects:
Scattering transform
nonlinear Paley-Wiener Theorem
Riemann-Hilbert problems
singular Schroedinger operators
Miura potentials
Analysis
Online Access:http://uknowledge.uky.edu/math_etds/9
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1008&context=math_etds

Internet

http://uknowledge.uky.edu/math_etds/9
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1008&context=math_etds

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