Analyticity on families of circles

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dc.creatorGlobevnik, Josip
dc.date2003-11-14
dc.date.accessioned2026-07-07T05:02:54Z
dc.date.available2026-07-07T05:02:54Z
dc.descriptionIt is known that if f is a continuous function on the complex plane which extends holomorphically from each circle surrounding the origin then f is not necessarily holomorphic. In the paper we prove that if, in addition, f extends holomorphically from each circle belonging to an open family of circles which do not surround the origin then f is holomorphic.
dc.identifierhttps://arxiv.org/abs/math/0311238
dc.identifierhttp://arxiv.org/abs/math/0311238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69194
dc.subjectComplex Variables
dc.titleAnalyticity on families of circles
dc.typetext

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