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

dc.contributor.authorBarrett, David E.en_US
dc.contributor.authorBharali, Gautamen_US
dc.date.accessioned2006-09-11T17:35:21Z
dc.date.available2006-09-11T17:35:21Z
dc.date.issued2005-04en_US
dc.identifier.citationBarrett, David E.; Bharali, Gautam; (2005). "The role of Fourier modes in extension theorems of Hartogs-Chirka type." Mathematische Zeitschrift 249(4): 883-901. <http://hdl.handle.net/2027.42/46280>en_US
dc.identifier.issn1432-1823en_US
dc.identifier.issn0025-5874en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46280
dc.description.abstractWe generalize Chirka’s theorem on the extension of functions holomorphic in a neighbourhood of Γ( F )∪(∂ D × D ) – where D is the open unit disc and Γ( F ) is the graph of a continuous D -valued function F – to the bidisc. We extend holomorphic functions by applying the Kontinuitätssatz to certain continuous families of analytic annuli, which is a procedure suited to configurations not covered by Chirka’s theorem.en_US
dc.format.extent256713 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag Berlin Heidelbergen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherMathematicsen_US
dc.titleThe role of Fourier modes in extension theorems of Hartogs-Chirka typeen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, , University of Michigan, 525 East University, , Ann Arbor, MI, 48109en_US
dc.contributor.affiliationumDepartment of Mathematics, , University of Michigan, 525 East University, , Ann Arbor, MI, 48109en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46280/1/209_2004_Article_742.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s00209-004-0742-0en_US
dc.identifier.sourceMathematische Zeitschriften_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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