Esser, Céline ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Algebrability of nowhere Gevrey differentiable functions
Publication date :
17 September 2013
Event name :
2º Congreso de Jóvenes Investigadores RSME 2013
Event organizer :
RMSE
Event date :
du 16 septembre au 20 septembre 2013
By request :
Yes
Audience :
International
References of the abstract :
In this talk, we study generic results about nowhere Gevrey diff erentiable functions. Any nowhere Gevrey di erentiable function is in particular nowhere analytic. It is known that the set of nowhere analytic functions is
prevalent, residual, lineable and algebrable in C^infty([0,1]). It was also shown that the set of nowhere Gevrey di fferentiable functions is prevalent and residual in C^infty([0,1]). So a natural question is to ask whether the set of nowhere Gevrey di erentiable functions is also lineable and even algebrable. This talk answer this question.
