Failure of the Weierstrass Preparation Theorem in quasi-analytic Denjoy-Carleman rings

Autor:	Acquistapace, Francesca, Broglia, Fabrizio, Bronshtein, Michail, Nicoara, Andreea, Zobin, Nahum
Rok vydání:	2012
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Algebraic Geometry 26E10 32B05 (Primary) 46E25 (Secondary)
Zdroj:	Advances in Mathematics 258C (2014), pp. 397-413
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aim.2014.03.002
Popis:	It is shown that Denjoy-Carleman quasi-analytic rings of germs of functions in two or more variables fail to satisfy the Weierstrass Preparation Theorem. The result is proven via a non-extension theorem. Comment: 17 pages; accepted at the Advances in Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.4265 Zobrazit plný text záznamu View this record from Arxiv