Characterization of Classes of Polynomial Functions
Functional Analysis
2014-04-02 v1
Abstract
In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical quantity depending on the variety of the local polynomial only. Moreover, we show that the known characterization of polynomials among generalized polynomials can be simplified: a generalized polynomial is a polynomial if and only if its variety contains finitely many linearly independent additive functions.
Keywords
Cite
@article{arxiv.1404.0263,
title = {Characterization of Classes of Polynomial Functions},
author = {J. M. Almira and L. Székelyhidi},
journal= {arXiv preprint arXiv:1404.0263},
year = {2014}
}
Comments
7 pages, submitted to a Journal. arXiv admin note: text overlap with arXiv:1403.4486