Analysis · Oct 6, 2026

The Llog⁡LL\log L Fourier-convergence conjecture

Proves that the ordinary symmetric Fourier partial sums of every complex-valued function in Llog⁡L(T)L\log L(\mathbb T) converge almost everywhere along the full sequence. This resolves the classical sufficiency conjecture at the Llog⁡LL\log L scale.

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