On a countable system of convolution equations (Q1903847)

The paper is motivated by the authors previous results on the existence of generators in some rings of entire functions, a question closely related with the existence and uniqueness of solutions of certain finite systems of convolution equations. Here, the authors find necessary and sufficient conditions for existence and uniqueness of solutions of analogous countable systems of non-homogeneous convolution equations on the space of holomorphic functions in convex domains in \(\mathbb{C}^n\).