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Nonlinear Fourier Analysis by Terence Tao, Christoph Thiele
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Nonlinear Fourier Analysis
by Terence Tao, Christoph Thiele
Publisher: arXiv 2012
Number of pages: 98
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.