A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

DOI10.4153/CMB-2013-034-5zbMath1303.14067arXiv1303.4424OpenAlexW1971574565MaRDI QIDQ2925380

Adam Parusiński, Jean-Philippe Rolin

Publication date: 21 October 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4424

zbMATH Keywords

Weierstrass preparation theoremquasianalytic local rings

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) (C^infty)-functions, quasi-analytic functions (26E10) Real-analytic functions (26E05)

Related Items (5)

Gevrey normal form for unfoldings of nilpotent contact points of planar slow-fast systems ⋮ Ultradifferentiable extension theorems: a survey ⋮ Multivariable Newton-Puiseux theorem for generalised quasianalytic classes ⋮ Link between Noetherianity and the Weierstrass Division Theorem on some quasianalytic local rings ⋮ Solutions of some quasianalytic equations

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