Logo

Nonlinear Fourier Analysis by Terence Tao, Christoph Thiele

Small book cover: Nonlinear Fourier Analysis

Nonlinear Fourier Analysis
by

Publisher: arXiv
Number of pages: 98

Description:
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.

Home page url

Download or read it online for free here:
Download link
(610KB, PDF)

Similar books

Book cover: Lectures on Potential TheoryLectures on Potential Theory
by - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
(4428 views)
Book cover: Introduction to the Theory of Fourier's Series and IntegralsIntroduction to the Theory of Fourier's Series and Integrals
by - Macmillan and co.
An introductory explanation of the theory of Fourier's series. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and second theorem of mean value, enlarged sets of examples on infinite series, etc.
(1026 views)
Book cover: Lectures on Topics in Mean Periodic Functions and the Two-Radius TheoremLectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.
(4477 views)
Book cover: Harmonic AnalysisHarmonic Analysis
by - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(5061 views)