On Pointwise convergence of the non-linear Fourier transform

Lukas Mauth

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arXiv · 2210.12286

On Pointwise convergence of the non-linear Fourier transform

Lukas Mauth

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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.

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Lukas Mauth. 2022-10-21. On Pointwise convergence of the non-linear Fourier transform. https://arxiv.org/abs/2210.12286

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