2 problems

Let $f$ be an analytic function, and consider its graph and pluripolar hull. A finely analytic extension of $f$ may be possibly multi-valued; its maximal such extension is understo…

Let $U$ be a fine domain in $\mathbb{C}$, and let $f$ be finely holomorphic on $U$. Denote by $\Gamma_f^*$ the pluripolar hull of the graph of $f$, and by the maximal finely holomo…