Holomorphic Cohomological Convolution and Hadamard Product

Abstract

In this article we explain the link between Pohlen’s extended Hadamard product and the holomorphic cohomological convolution on ${\mathbb{C}}^{\ast }$. For this purpose we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.