Weierstrass division theorem in quasianalytic local rings
Abdelhafed Elkhadiri; Hassan Sfouli
Studia Mathematica (2008)
- Volume: 185, Issue: 1, page 83-86
- ISSN: 0039-3223
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topAbdelhafed Elkhadiri, and Hassan Sfouli. "Weierstrass division theorem in quasianalytic local rings." Studia Mathematica 185.1 (2008): 83-86. <http://eudml.org/doc/284871>.
@article{AbdelhafedElkhadiri2008,
abstract = {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.},
author = {Abdelhafed Elkhadiri, Hassan Sfouli},
journal = {Studia Mathematica},
keywords = {Weierstrass division theorem; quasianalytic class; ring of germs},
language = {eng},
number = {1},
pages = {83-86},
title = {Weierstrass division theorem in quasianalytic local rings},
url = {http://eudml.org/doc/284871},
volume = {185},
year = {2008},
}
TY - JOUR
AU - Abdelhafed Elkhadiri
AU - Hassan Sfouli
TI - Weierstrass division theorem in quasianalytic local rings
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 1
SP - 83
EP - 86
AB - 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.
LA - eng
KW - Weierstrass division theorem; quasianalytic class; ring of germs
UR - http://eudml.org/doc/284871
ER -
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