Publications de l'Institut Mathématique, Nouvelle SérieVol. 98(112), pp. 287–293 (2015)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 287–293 (2015) |
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Développement en série de fonctions holomorphes des fonctions d'une classe de Gevrey sur l'intervalle $[-1,1]$Elmostafa Bendib, Hicham ZoubeirDépartement de Mathématiques, Université Ibn Tofail, Faculté des sciences, Kénitra, MarocAbstract: 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
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