paper

On Pointwise convergence of the non-linear Fourier transform

arXiv:2210.12286

Abstract

A. Poltotaski proved an analog of Carleson's Theorem on almost everywhere convergence of Fourier series for a version of the non-linear Fourier transform. We aim to present his proof in full detail and elaborate on the ideas behind each step.

arXiv admin note: text overlap with arXiv:2103.13349 by other authors