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The role of Fourier modes in extension theorems of Hartogs-Chirka type |
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| Authors: | David E.?Barrett,Gautam?Bharali author-information" > author-information__contact u-icon-before" > mailto:bharali@umich.edu" title=" bharali@umich.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, University of Michigan, 525 East University, Ann Arbor, MI, 48109 |
| Abstract: | We generalize Chirka s theorem on the extension of functions holomorphic in a neighbourhood of  (F) ( D×D) – where D is the open unit disc and (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 Chirkas theorem.Mathematics Subject classification (2000): 32D15Work supported by NSF Grant DMS-0072237. |
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