This file contains the Carleson-Hunt theorem, a generalization of classical_carleson.
theorem
carleson_hunt
{T : ℝ}
[hT : Fact (0 < T)]
{f : AddCircle T → ℂ}
{p : ENNReal}
(hp : 1 < p)
(hf : MeasureTheory.MemLp f p AddCircle.haarAddCircle)
:
∀ᵐ (x : AddCircle T), Filter.Tendsto (fun (x_1 : ℕ) => (partialFourierSum' x_1 f) x) Filter.atTop (nhds (f x))
Classical theorem of Carleson and Hunt asserting a.e. convergence of the partial Fourier sums
for L^p functions for p > 1. This is a strengthening of classical_carleson, and not officially
part of the blueprint.