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arXiv · 1303.4424

Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

Jean-Philippe Rolin·Adam Parusinski
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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. .

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Jean-Philippe Rolin, Adam Parusinski. 2013-03-18. Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings. https://arxiv.org/abs/1303.4424

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