Weierstrass division theorem in quasianalytic local rings
Abdelhafed Elkhadiri ; Hassan Sfouli
Studia Mathematica, Tome 187 (2008), p. 83-86 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284871 
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Abdelhafed Elkhadiri; Hassan Sfouli. Weierstrass division theorem in quasianalytic local rings. Studia Mathematica, Tome 187 (2008) pp. 83-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-1-5/