Real functions as traces of infinite polynomials
type: Item
instance of: scholarly article
title: Real functions as traces of infinite polynomials
zbMATH Open document ID: 0666.26012
DOI: 10.1007/BF01443505
author: Chris Impens
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164540
review text: Real functions, not necessarily everywhere defined, are considered as observable traces of nonstandard polynomials with an infinite number of (possibly infinitesimal or infinite) coefficients. A necessary and sufficient condition, characterizing all functions obtainable that way, is established.
Mathematics Subject Classification ID: 26E35
zbMATH DE Number: 4089834
zbMATH Keywords: hyperreal polynomials
zbMATH Keywords: microcontinuity
zbMATH Keywords: Real functions
zbMATH Keywords: observable traces of nonstandard polynomials
MaRDI profile type: Publication
cites work: Q4104163
cites work: Q3244760
cites work: Q3708229
cites work: Local microcontinuity of nonstandard polynomials
cites work: Propagation of microcontinuity for nonstandard polynomials
cites work: Q5568053
cites work: Enumeration of non-separable graphs
OpenAlex ID: W2000309308
description: scientific article; zbMATH DE number 4089834