Geodesic
A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 614-620

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DOI

Consider quasianalytic local rings of germs of smooth functions closed under composition, implicit equation, and monomial division. We show that if the Weierstrass Preparation Theoremholds in such a ring, then all elements of it are germs of analytic functions.
DOI : 10.4153/CMB-2013-034-5
Mots-clés : 26E10, 26E05, 14P15, Weierstrass Preparation Theorem, quasianalytic local rings 
Parusiński, Adam; Rolin, Jean-Philippe. A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 614-620. doi: 10.4153/CMB-2013-034-5
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     author = {Parusi\'nski, Adam and Rolin, Jean-Philippe},
     title = {A {Note} on the {Weierstrass} {Preparation} {Theorem} in {Quasianalytic} {Local} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {614--620},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2013-034-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-034-5/}
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