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Lacunary non-continuable boundary-regular holomorphic functions with universal properties

Abstract

A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending continuously up to the boundary G that happens to be a natural boundary of In addition the action of a certain class of operators on presents some universal properties related to the overconvergence phenomenon.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Ciencia y Tecnologí

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