Geometry of nowhere vanishing, point separating sub-algebras of $\mathcal{H}ol(\Gamma \cup \text{Int}(\Gamma ))$ and zeros of Holomorphic functions

Babhrubahan Bose, Saikat Roy, Debmalya Sain

We study $\mathcal{H}ol(\Gamma \cup \text{Int}(\Gamma ))$, the normed algebra of all holomorphic functions defined on some simply connected neighbourhood of a simple closed curve $\Gamma$ in $\mat…