For every complex-valued function on the circle with finite integral of |f| log(2+|f|), its ordinary symmetric Fourier partial sums converge almost everywhere to f along the full sequence.
For every complex-valued function on the circle with finite integral of |f| log(2+|f|), its ordinary symmetric Fourier partial sums converge almost everywhere to f along the full sequence.
For every complex-valued function on the circle with finite integral of |f| log(2+|f|), its ordinary symmetric Fourier partial sums converge almost everywhere to f along the full sequence.
If correct, settles a classical endpoint question in Fourier analysis.
Do ordinary Fourier partial sums converge almost everywhere for every L log L function on the circle?
Publication dates and editorial changes.
OpenAI reports almost-everywhere Fourier convergence in L log L
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