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arXiv · 1404.0263

Characterization of Classes of Polynomial Functions

J. M. Almira·L. Székelyhidi
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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.

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J. M. Almira, L. Székelyhidi. 2014-04-01. Characterization of Classes of Polynomial Functions. https://arxiv.org/abs/1404.0263

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