Define $\chi_0:\mathbb{C}\to \mathbb{C}$ as
$$ \chi_0(z)=\left\{ \begin{gathered} 1 \quad z=0\hfill \\ 0 \quad z\ne 0 \hfill \\ \end{gathered} \right.$$
Does there exist a sequence of holomorphic functions converging pointwise to $\chi_0$?
2026-03-28 02:09:17.1774663757
Approximating $\chi_0$ pointwise with holomorphic functions
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