The argument principle and holomorphic extendibility to finite Riemann surfaces

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dc.creatorGlobevnik, Josip
dc.date2005-07-30
dc.date.accessioned2026-07-07T05:22:07Z
dc.date.available2026-07-07T05:22:07Z
dc.descriptionLet M be a finite Riemann surface and let A(bM) be the algebra of all continuous functions on bM which extend holomorphically through M. We prove that a continuous function F on bM belongs to A(bM) if for each f, g in A(bM) such that fF+g has no zero the change of argument of fF+g along bM is nonnegative.
dc.description7 pages, to appear in Math.Z
dc.identifierhttps://arxiv.org/abs/math/0508012
dc.identifierhttp://arxiv.org/abs/math/0508012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75941
dc.subjectComplex Variables
dc.titleThe argument principle and holomorphic extendibility to finite Riemann surfaces
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