EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 247–262 (2017)

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Holomorphic series expansion of functions of carleman type on the interval [-1,1]

Hicham Zoubeir

Ibn Tofail University Departement of Mathematics, Faculty of Sciences, Kenitra, Morocco

Abstract: We characterize the functions of some Carleman classes 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 an alternative construction of the Dyn’kin’s pseudoanalytic extension for these Carleman classes on [-1,1].

Keywords: Carleman classes

Classification (MSC2000): 30D60; 41A20

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