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arXiv · 2606.15738

A remark on Kolmogorov's theorem

Arash Lotfi·Mariusz Mirek·Richard K. Yu
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Abstract

The aim of this note is to illustrate that the set of integrable functions on the torus $\mathbb{T}$ for which the Fourier series diverges almost everywhere is of the second Baire category in $L^1(\mathbb{T})$.

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Arash Lotfi, Mariusz Mirek, Richard K. Yu. 2026-06-14. A remark on Kolmogorov's theorem. https://arxiv.org/abs/2606.15738

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