Multifractal analysis of the divergence of Fourier series

Frédéric Bayart, Yanick Heurteaux

A famous theorem of Carleson says that, given any function $f\in L^p(\TT)$, $p\in (1,+\infty )$, its Fourier series $(S_{n}f(x))$ converges for almost every $x\in \mathbb{T}$. Beside th…