RT Book, Section T1 Carácter topológico de Isomorfismo del Borel A1 Martínez Ansemil, José María AB 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'. PB Universidad de Zaragoza SN 84-600-1918-7 YR 1977 FD 1977-05 LK https://hdl.handle.net/20.500.14352/65482 UL https://hdl.handle.net/20.500.14352/65482 LA spa DS Docta Complutense RD 30 dic 2025