Let $f\in L^1(\mathbb{T})$, and $\sum_{n}a_{n}e^{int}$ its Fourier series.
Fix a $t_{0}\in \mathbb{T}$. Suppose $\sum_{n}a_{n}e^{int}$ converges at $t_{0}$.
But if it is still possible that $\sum_{n}a_{n}e^{int}$ does not converge to $f(t)$ at $t_{0}$, then what terminology should we use for such a $t_{0}$?
Can we say that the Fourier series of $f$ converges at $t_{0}$?