Geodesic
Weierstrass division theorem in quasianalytic local rings
Abdelhafed Elkhadiri 1   ; Hassan Sfouli 1
1 Department of Mathematics Faculty of Sciences University Ibn Tofail B.P. 133, Kénitra, Morocco
Studia Mathematica, Tome 185 (2008) no. 1, pp. 83-86 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The main result of this paper is the following: if the Weierstrass division theorem is valid in a quasianalytic differentiable system, then this system is contained in the system of analytic germs. This result has already been known for particular examples, such as the quasianalytic Denjoy–Carleman classes.
DOI : 10.4064/sm185-1-5
Keywords: main result paper following weierstrass division theorem valid quasianalytic differentiable system system contained system analytic germs result has already known particular examples quasianalytic denjoy carleman classes

Abdelhafed Elkhadiri  1   ; Hassan Sfouli  1

1 Department of Mathematics Faculty of Sciences University Ibn Tofail B.P. 133, Kénitra, Morocco 
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Abdelhafed Elkhadiri; Hassan Sfouli. Weierstrass division theorem in quasianalytic local rings. Studia Mathematica, Tome 185 (2008) no. 1, pp. 83-86. doi: 10.4064/sm185-1-5

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