Weighted $L^2$ version of Mergelyan and Carleman approximation

Séverine Biard, John Erik Fornæss, Jujie Wu

We study the density of polynomials in $H^2(E,\phi )$, the space of square integrable functions with respect to $e^{-\phi }dm$ and holomorphic on the interior of $E$ in $\mathbb{C}$, where…