The role of Fourier modes in extension theorems of Hartogs-Chirka type

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dc.creatorBarrett, David E.
dc.creatorBharali, Gautam
dc.date2004-05-05
dc.date.accessioned2026-07-07T06:24:06Z
dc.date.available2026-07-07T06:24:06Z
dc.descriptionWe generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denotes the graph of a continuous D-valued function F -- to the bidisc. We extend holomorphic functions by applying the Kontinuitaetssatz to certain continuous families of analytic annuli, which is a procedure suited to configurations not covered by Chirka's theorem.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0405077
dc.identifierhttp://arxiv.org/abs/math/0405077
dc.identifierMath. Z. 249 (2005), 883-901
dc.identifierdoi:10.1007/s00209-04-0742-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96432
dc.subjectComplex Variables
dc.subject32D15
dc.titleThe role of Fourier modes in extension theorems of Hartogs-Chirka type
dc.typetext

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