Almost-everywhere Fourier convergence in $L\log L$

Recorded by the registry's curators from GitHub; the authors did not submit it here.

OpenAI

We prove that the ordinary symmetric Fourier partial sums of every complex-valued function in $L\log L$ on the circle converge almost everywhere to the function along the full sequence. This establishes the classical $L\log L$ sufficiency conjecture.

Claims

SOLUTION CLAIMED OP-00683 — Almost-everywhere Fourier reconstruction of L log L signals

Full resolution · fidelity not yet established

Files and sources

Paper: math @ 1581d4c, build/main.tex ↗
Posted on GitHub: 6 October 2026

No verification run is on record for this version.