3 papers
math.CA2025
On some quasianalytic classes of functions
Abdelhafed Elkhadiri
This expository article is devoted to the notion of quasianalytic classes and the Borel mapping. Although quasianalytic classes are well known in analysis since several decades. We…
math.AG2017
Some non noetherian quasianalytic local rings
Abdelhafed Elkhadiri
We give an example of a non-noetherian quasi-analytic ring constructed using a quasi-analytic Denjoy-Carleman class. If we denote by the ring of those …
math.AG2012
On connected components of some globally semi-analytic sets
Abdelhafed Elkhadiri
We isolate a class, say , of global real analytic functions such that, each global semi-analytic set defined by has only finitely many connected componen…