%0 Book Section
%T Carácter topológico de Isomorfismo del Borel
publisher Universidad de Zaragoza
%D 1977
%U 84-600-1918-7
%@ https://hdl.handle.net/20.500.14352/65482
%X 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'.
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