Universal Taylor series for non-simply connected domains

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dc.contributor.author Gardiner, Stephen J.
dc.contributor.author Tsirivas, Nikolaos
dc.date.accessioned 2010-09-28T14:19:19Z
dc.date.available 2010-09-28T14:19:19Z
dc.date.copyright 2010 Académie des sciences en
dc.date.issued 2010-05
dc.identifier.citation Comptes Rendus Mathématique en
dc.identifier.issn 1631-073X
dc.identifier.uri http://hdl.handle.net/10197/2465
dc.description.abstract It is known that, for any simply connected proper subdomain Omega of the complex plane and any point zeta in Omega, there are holomorphic functions on Omega that have "universal" Taylor series expansions about zeta; that is, partial sums of the Taylor series approximate arbitrary polynomials on arbitrary compacta in C\Omega that have connected complement. This note shows that this phenomenon can break down for non-simply connected domains Omega, even when C\Omega is compact. This answers a question of Melas and disproves a conjecture of Müller, Vlachou and Yavrian. en
dc.description.sponsorship Science Foundation Ireland en
dc.format.extent 98744 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Elsevier en
dc.subject Taylor series en
dc.subject Universal functions en
dc.subject.lcsh Series, Taylor's en
dc.subject.lcsh Analytic functions en
dc.title Universal Taylor series for non-simply connected domains en
dc.title.alternative Séries universelles de Taylor pour les domaines non-simplement connexes en
dc.type Journal Article en
dc.internal.availability Full text available en
dc.internal.webversions http://dx.doi.org/10.1016/j.crma.2010.03.003 en
dc.status Peer reviewed en
dc.identifier.volume 348 en
dc.identifier.issue 9-10 en
dc.identifier.startpage 521 en
dc.identifier.endpage 524 en
dc.identifier.doi 10.1016/j.crma.2010.03.003
dc.neeo.contributor Gardiner|Stephen J.|aut| en
dc.neeo.contributor Tsirivas|Nikolaos|aut| en
dc.description.admin ab.kpw27/9/10 en

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