Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 075-01. Almost-everywhere Fourier convergence in L log L
Manuscript map · lines 3955–3964
OpenAI@2026-10-07#rem:oai-p-075-01
Authors: OpenAI. Family 075.
Title: Almost-everywhere Fourier convergence in L log L.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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