Topologies on the space of holomorphic functions

dc.creatorKrantz, Steven G.
dc.date2007-07-12
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:19Z
dc.date.available2026-07-07T08:19:19Z
dc.descriptionWe show that a fairly arbitrary Frechet space topology on the space of holomorphic functions on a domain controls the topology of uniform convergence on compact sets. In fact it turns out that the result we present can be proved more simply using the closed graph theorem. However, we believe that the techniques presented here may be used to prove a more interesting result. Details to appear later.
dc.descriptionThis is a revision of an earlier version of the paper
dc.identifierhttps://arxiv.org/abs/0707.1876
dc.identifierhttp://arxiv.org/abs/0707.1876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134725
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject32A10
dc.titleTopologies on the space of holomorphic functions
dc.typetext

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