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Unpublished conference/Abstract (Scientific congresses and symposiums)
Algebrability of nowhere Gevrey differentiable functions
Esser, Céline
2013 • 2º Congreso de Jóvenes Investigadores RSME 2013
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Keywords :
Lineability; Algebrability; Nowhere Gevrey differentiable functions
Disciplines :
Mathematics
Author, co-author :
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.
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique
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since 30 September 2013

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