Bases in the Space of Entire Functions of Several Complex Variables Represented by Dirichlet Series having Finite Order Point

Abstract

Let C denote the complex plane and Cⁿ the cartesian product of G taken n times, equipped with the usual product topology. Let T be the space of all Entire functions f : C²â†’C (for the sake of brevity and simplicity, we consider the case when n=2, though our results can be easily extended to any finite integer n) having an order point at most equal to (p₁, P₂), where p₁ and p₂ are positive finite numbers.