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oai:docta.ucm.es:20.500.14352/654822024-07-22T13:07:54Zcom_20.500.14352_14col_20.500.14352_21

Carácter topológico de Isomorfismo del Borel Martínez Ansemil, José María 515.171.5 Teoría de conjuntos 1201.02 Teoría Axiomática de Conjuntos Let E be a DFN space, E' its strong topological dual, H(E) and H(E') the corresponding spaces of holomorphic functions from E and E' into endowed with the respective compact-open topologies and Exp E' the vector subspace of H(E') consisting of the entire functions of exponential type on E'. In this article we endow Exp E' with a vector space topology and show that Borel´s Transformation is an isomorphism between the topological vector spaces h(E') (strong topological dual of H(E)) and Exp E'. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:43:06Z 2023-06-21T02:43:06Z 1977-05 book part https://hdl.handle.net/20.500.14352/65482 XXXX-XXXX spa Matemáticas open access application/pdf Universidad de Zaragoza