2014/04/01 by J. M. Almira, László Székelyhidi, Almira, J. M. +2
Engineering · Mathematics · #Advanced Control Systems Design #Advanced Optimization Algorithms Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #math.FA
paper · pdf · doi:10.48550/arxiv.1404.0263
7 pages, submitted to a Journal. arXiv admin note: text overlap with arXiv:1403.4486
arxiv created 2014/04/01 · openalex publication_date 2014/04/01 · arxiv updated 2014/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.