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dc.contributor.authorOkuyama, Yûsuke
dc.contributor.authorPankka, Pekka
dc.date.accessioned2015-10-26T12:33:38Z
dc.date.available2015-10-26T12:33:38Z
dc.date.issued2015
dc.identifier.citationOkuyama, Y., & Pankka, P. (2015). Rescaling principle for isolated essential singularities of quasiregular mappings. <i>Proceedings of the American Mathematical Society</i>, <i>143</i>(5), 2043-2050. <a href="https://doi.org/10.1090/S0002-9939-2014-12378-1" target="_blank">https://doi.org/10.1090/S0002-9939-2014-12378-1</a>
dc.identifier.otherCONVID_24593110
dc.identifier.otherTUTKAID_65479
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/47435
dc.description.abstractWe establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a consequence we show that the class of closed manifolds receiving a quasiregular mapping from a punctured unit ball with an essential singularity at the origin is exactly the class of closed quasiregularly elliptic manifolds, that is, closed manifolds receiving a non-constant quasiregular mapping from a Euclidean space.
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesProceedings of the American Mathematical Society
dc.subject.otherIsolated essential singularities
dc.subject.otherQuasiregular mapping
dc.subject.otherRescaling
dc.titleRescaling principle for isolated essential singularities of quasiregular mappings
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201510233469
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-10-23T09:15:04Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange2043-2050
dc.relation.issn0002-9939
dc.relation.numberinseries5
dc.relation.volume143
dc.type.versionacceptedVersion
dc.rights.copyright© 2014 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMC. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1090/S0002-9939-2014-12378-1


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