Développement en série de fonctions holomorphes des fonctions d'une classe de Gevrey sur l'intervalle [-1;1] | Zendy

Elmostafa Bendib | Zendy; Hicham Zoubeir | Zendy

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

Author(s) -

Elmostafa Bendib,

Hicham Zoubeir

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim141101010b

Subject(s) - holomorphic function , mathematics , pure mathematics , unit interval , extension (predicate logic) , simple (philosophy) , interval (graph theory) , mathematical analysis , combinatorics , philosophy , computer science , epistemology , programming language

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].

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