Testing analyticity on circles

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dc.creatorTumanov, A.
dc.date2005-02-07
dc.date.accessioned2026-07-07T05:16:46Z
dc.date.available2026-07-07T05:16:46Z
dc.descriptionConsider a continuous one parameter family of circles in complex plane that contains two circles lying in the exterior of one another. Under mild assumptions on the family, we prove that if a continuous function on the union of the above circles extends holomorphically into each circle, then the function is holomorphic in the interior of the union of the circles.
dc.identifierhttps://arxiv.org/abs/math/0502139
dc.identifierhttp://arxiv.org/abs/math/0502139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74110
dc.subjectComplex Variables
dc.subject30E25, 32V25
dc.titleTesting analyticity on circles
dc.typetext

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