On strongly asymptotically developable functions and the Borel-Ritt theorem

J. Sanz; F. Galindo

ArticleOriginal scientific text

Title

On strongly asymptotically developable functions and the Borel-Ritt theorem

Authors ¹, ¹

Affiliations

Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain c/ Prado de la Magdalena s/n

Abstract

We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.

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Title

On strongly asymptotically developable functions and the Borel-Ritt theorem

Affiliations

Abstract

Bibliography