Single valued conjugates and holomorphic extendibility

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dc.creatorGlobevnik, Josip
dc.date2005-07-05
dc.date.accessioned2026-07-07T05:21:25Z
dc.date.available2026-07-07T05:21:25Z
dc.descriptionLet D be a bounded domain in the complex plane whose boundary consists of m pairwise disjoint simple closed curves where m is greater than one. Let A(bD) be the algebra of all continuous functions on bD which extend holomorphically through D. We show that a continuous function f on bD belongs to A(bD) if for each g in A(bD) the harmonic extension of Re(fg) to D has a single valued conjugate.
dc.description4 pages, to appear in Proc.Roy.Soc.Edinb.Sec.A
dc.identifierhttps://arxiv.org/abs/math/0507100
dc.identifierhttp://arxiv.org/abs/math/0507100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75684
dc.subjectComplex Variables
dc.titleSingle valued conjugates and holomorphic extendibility
dc.typetext

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