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

Author:

Acquistapace Francesca,Broglia Fabrizio,Bronshtein Michail,Nicoara Andreea,Zobin Nahum

Funder

AIM

Publisher

Elsevier BV

Subject

General Mathematics

Reference20 articles.

1. Divisions dans des sous-anneaux de R[[X1,…,Xn]];A'Campo;J. Math. Pures Appl. (9),1967

2. Sur la généralisation du prolongement analytique;Borel;C. R. Acad. Sci. Paris,1900

3. Sur les séries de polynômes et de fractions rationnelles;Borel;Acta Math.,1901

4. Division with a remainder in spaces of smooth functions;Bronshtein;Tr. Mosk. Mat. Obs.,1989

5. Les fonctions quasi-analytiques;Carleman,1926

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3. Sharp Estimates for Blowing Down Functions in a Denjoy–Carleman Class;International Mathematics Research Notices;2021-02-08

4. Solutions of quasianalytic equations;Selecta Mathematica;2017-06-30

5. Pathological Phenomena in Denjoy–Carleman Classes;Canadian Journal of Mathematics;2016-02-01

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