Local polynomials and the Montel Theorem
Functional Analysis
2014-03-19 v1
Abstract
In this paper local polynomials on Abelian groups are characterized by a "local" Fr\'echet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain Montel-type theorems on commutative groups.
Cite
@article{arxiv.1403.4486,
title = {Local polynomials and the Montel Theorem},
author = {J. M. Almira and L. Székelyhidi},
journal= {arXiv preprint arXiv:1403.4486},
year = {2014}
}
Comments
9 pages, submitted to a journal