Multivariate expansivity theory and Pierce-Birkhoff conjecture
Classical Analysis and ODEs
2026-03-23 v8 Operator Algebras
Abstract
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 . As an application, we develop some class of inequalities to study the Pierce-Birkhoff conjecture.
Cite
@article{arxiv.2011.03523,
title = {Multivariate expansivity theory and Pierce-Birkhoff conjecture},
author = {Theophilus Agama},
journal= {arXiv preprint arXiv:2011.03523},
year = {2026}
}
Comments
49 pages; the paper has been massively reformatted and introduction expanded; ideas remain unchanged