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dc.contributor.authorAron, Richard M.
dc.contributor.authorGauthier, Paul Montpetit
dc.contributor.authorMaestre, Manuel
dc.contributor.authorNestoridis, Vassili
dc.contributor.authorFalcó, Javier
dc.date.accessioned2016-06-17T12:00:00Z
dc.date.accessioned2016-10-05T14:14:05Z
dc.date.available2016-06-17T12:00:00Z
dc.date.available2016-10-05T14:14:05Z
dc.date.issued2016-06-17
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1115
dc.descriptionResearch in Pairs 2015en_US
dc.description.abstractWe consider $A(\Omega)$, the Banach space of functions $f$ from $ \overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where $I$ is an arbitrary set and $U_i$ are planar domains of some type. We show that finite sums of finite products of rational functions of one variable with prescribed poles off $ \overline{U_i}$ are uniformly dense in $A(\Omega)$. This generalizes previous results where $U_i=\mathbb{D}$ is the open unit disc in $\mathbb{C}$ or $\overline{U_i}^c$ is connected.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2016,05
dc.subjectrational approximationen_US
dc.subjectproducts of planar domainsen_US
dc.subjectinfinite dimensional holomorphyen_US
dc.titleRational Approximation on Products of Planar Domainsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2016-05
local.scientificprogramResearch in Pairs 2015
local.series.idOWP-2016-05
local.subject.msc32
local.subject.msc30
local.subject.msc46
dc.identifier.urnurn:nbn:de:101:1-201606161354
dc.identifier.ppn1657177998


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