EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 287–293 (2015)

Previous Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home


Pick a mirror

 

Développement en série de fonctions holomorphes des fonctions d'une classe de Gevrey sur l'intervalle $[-1,1]$

Elmostafa Bendib, Hicham Zoubeir

Département de Mathématiques, Université Ibn Tofail, Faculté des sciences, Kénitra, Maroc

Abstract: We characterize Gevrey functions on the unit interval $[-1,1]$ as sums of holomorphic functions in specific neighborhoods of $[-1,1]$. As an application of our main theorem, we perform a simple proof for Dyn'kin's theorem of pseudoanalytic extension for Gevrey classes on $[-1,1]$.

Keywords: Gevrey classes

Classification (MSC2000): 30D60

Full text of the article: (for faster download, first choose a mirror)


Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
© 2015–2016 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition