Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665873 | Advances in Mathematics | 2014 | 17 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Francesca Acquistapace, Fabrizio Broglia, Michail Bronshtein, Andreea Nicoara, Nahum Zobin,