Nonlinear Fourier Analysis
Classical Analysis and ODEs
2012-01-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1201.5129,
title = {Nonlinear Fourier Analysis},
author = {Terence Tao and Christoph Thiele},
journal= {arXiv preprint arXiv:1201.5129},
year = {2012}
}