Unpublished conference/Abstract (Scientific congresses and symposiums)
Dense-lineability in classes of ultradifferentiable functions
Esser, Céline
2015Genericity & small sets in analysis
 

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Keywords :
Ultradifferentiable functions; Lineability
Abstract :
[en] The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their derivatives defined through weight sequences. In this talk, given a Denjoy-Carleman class E of Beurling type that strictly contains another non-quasianalytic class F of Roumieu type, we handle the question of knowing how large the set of functions in E that are nowhere in the class $F$ is. In particular, we prove the dense-lineability of the set of functions of $E$ which are nowhere in F. Consequences for the Gevrey classes are also given. We extend then these results to the case of classes of ultradifferentiable functions defined imposing conditions on their Fourier Laplace transform using weight functions.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline  ;  Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Dense-lineability in classes of ultradifferentiable functions
Publication date :
27 May 2015
Event name :
Genericity & small sets in analysis
Event place :
Esneux, Belgium
Event date :
du 26 au 28 mai 2015
By request :
Yes
Audience :
International
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 29 May 2015

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