Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings
Classical Analysis and ODEs
2013-04-16 v3
Abstract
Consider quasianalytic local rings of germs of smooth functions closed under composition, implicit equation, and monomial division. We show that if the Weierstrass Preparation Theorem holds in such a ring then all elements of it are germs of analytic functions. .
Keywords
Cite
@article{arxiv.1303.4424,
title = {Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings},
author = {Jean-Philippe Rolin and Adam Parusinski},
journal= {arXiv preprint arXiv:1303.4424},
year = {2013}
}