**Nonlinear Fourier Analysis**

by Terence Tao, Christoph Thiele

**Publisher**: arXiv 2012**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.

Download or read it online for free here:

**Download link**

(610KB, PDF)

## Similar books

**Harmonic Function Theory**

by

**Sheldon Axler, Paul Bourdon, Wade Ramey**-

**Springer**

A book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the text. The authors have taken care to motivate concepts and simplify proofs.

(

**13834**views)

**Harmonic Analysis**

by

**Russell Brown**-

**University of Kentucky**

These notes are intended for a course in harmonic analysis on Rn for graduate students. The background for this course is a course in real analysis which covers measure theory and the basic facts of life related to Lp spaces.

(

**10061**views)

**Spherical Harmonics in p Dimensions**

by

**Christopher Frye, Costas J. Efthimiou**-

**arXiv**

The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.

(

**9944**views)

**Contributions to Fourier Analysis**

by

**A. Zygmund, et al.**-

**Princeton University Press**

In the theory of convergence and summability, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.

(

**7537**views)