Bases in some spaces of Whitney functions

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buir.contributor.authorGoncharov, Alexander
buir.contributor.authorUral, Zeliha
dc.citation.epage71en_US
dc.citation.issueNumber1en_US
dc.citation.spage56en_US
dc.citation.volumeNumber9en_US
dc.contributor.authorGoncharov, Alexanderen_US
dc.contributor.authorUral, Zelihaen_US
dc.date.accessioned2019-02-21T16:07:28Z
dc.date.available2019-02-21T16:07:28Z
dc.date.issued2017-06en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- sion operator, when it exists for the corresponding space. In general, elements of the basis are restrictions of polynomials to certain subsets. In the case of small sets, we can present strict polynomial bases as well.
dc.description.provenanceMade available in DSpace on 2019-02-21T16:07:28Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.identifier.doi10.1215/20088752-2017-0024
dc.identifier.eissn2008-8752en_US
dc.identifier.urihttp://hdl.handle.net/11693/50366
dc.language.isoEnglish
dc.publisherDuke University Press
dc.relation.isversionofhttps://doi.org/10.1215/20088752-2017-0024
dc.source.titleAnnals of Functional Analysisen_US
dc.subjectExtension problemen_US
dc.subjectTopological basesen_US
dc.subjectWhitney spacesen_US
dc.titleBases in some spaces of Whitney functionsen_US
dc.typeArticleen_US

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