Nonlinear Fourier Analysis

Details Nonlinear Fourier Analysis Nonlinear Fourier Analysis

2012-01-24

arxiv.org/abs/1201.5129v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series, and on nonlinear analogues of classical analytic facts about Fourier series. These notes are a summary of a series of lectures given in 2003 at the Park City Mathematics Institute.

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