Multivariate expansivity theory and Pierce-Birkhoff conjecture

Fuente: arXiv
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Auteur principal: Agama, Theophilus
Format: Preprint
Publié: 2020
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author Agama, Theophilus
author_facet Agama, Theophilus
contents Motivated by the Pierce-Birkhoff conjecture, we launch an extension program for single variable expansivity theory. We study this notion under tuples of polynomials in the ring $\mathbb{R}[x_1,x_2,\ldots,x_n]$. As an application, we develop some class of inequalities to study the Pierce-Birkhoff conjecture.
format Preprint
id arxiv_https___arxiv_org_abs_2011_03523
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Multivariate expansivity theory and Pierce-Birkhoff conjecture
Agama, Theophilus
Classical Analysis and ODEs
Operator Algebras
14P10, 06B20
Motivated by the Pierce-Birkhoff conjecture, we launch an extension program for single variable expansivity theory. We study this notion under tuples of polynomials in the ring $\mathbb{R}[x_1,x_2,\ldots,x_n]$. As an application, we develop some class of inequalities to study the Pierce-Birkhoff conjecture.
title Multivariate expansivity theory and Pierce-Birkhoff conjecture
topic Classical Analysis and ODEs
Operator Algebras
14P10, 06B20
url https://arxiv.org/abs/2011.03523