A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders
Functional Analysis
2020-03-26 v1
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.
Keywords
Cite
@article{arxiv.2003.11226,
title = {A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders},
author = {Takashi Aoki and Ryuichi Ishimura and Yasunori Okada},
journal= {arXiv preprint arXiv:2003.11226},
year = {2020}
}
Comments
18 pages