A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders
arXiv:2003.11226
Abstract
In this paper, we consider the locally convex spaces of entire functions with growth given by proximate orders, and study the representation as a differential operator of a continuous homomorphism from such a space to another one. As a corollary, we give a characterization of continuous endomorphisms of such spaces.
18 pages