Weierstrass division theorem in quasianalytic local rings

• Autorzy: Abdelhafed Elkhadiri , Hassan Sfouli
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 58C10: Holomorphic maps
• 26E10: C ∞ -functions, quasi-analytic functions
• 32B05: Analytic algebras and generalizations, preparation theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 1
• Strony: 83-86

Daty

wydano

2008

Twórcy

autor

Abdelhafed Elkhadiri

• Department of Mathematics, Faculty of Sciences, University Ibn Tofail, B.P. 133, Kénitra, Morocco

autor

Hassan Sfouli

• Department of Mathematics, Faculty of Sciences, University Ibn Tofail, B.P. 133, Kénitra, Morocco

Identyfikatory

DOI

10.4064/sm185-1-5