I'm reading "Fourier series" by Rajendra Bhatia. At one point, the author says:
"[..]one can show the existence of a continuous function whose Fourier series diverges except on a set of points of the first (Baire) category in T (the circle), and the existence of a continuous function whose Fourier series diverges on an uncountable set."
But, thanks to the Carleson-Hunt theorem we know that:
"[..]if f (a function) is continuous. then its Fourier series converges almost everywhere."
(from the same book)
Isn't there a contradiction?
Thanks in advance for the answers!!