The role of Fourier modes in extension theorems of Hartogs-Chirka type
dc.contributor.author | Barrett, David E. | en_US |
dc.contributor.author | Bharali, Gautam | en_US |
dc.date.accessioned | 2006-09-11T17:35:21Z | |
dc.date.available | 2006-09-11T17:35:21Z | |
dc.date.issued | 2005-04 | en_US |
dc.identifier.citation | Barrett, 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.issn | 1432-1823 | en_US |
dc.identifier.issn | 0025-5874 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46280 | |
dc.description.abstract | We 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.extent | 256713 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; Springer-Verlag Berlin Heidelberg | en_US |
dc.subject.other | Mathematics, General | en_US |
dc.subject.other | Mathematics | en_US |
dc.title | The role of Fourier modes in extension theorems of Hartogs-Chirka type | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, , University of Michigan, 525 East University, , Ann Arbor, MI, 48109 | en_US |
dc.contributor.affiliationum | Department of Mathematics, , University of Michigan, 525 East University, , Ann Arbor, MI, 48109 | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46280/1/209_2004_Article_742.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00209-004-0742-0 | en_US |
dc.identifier.source | Mathematische Zeitschrift | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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