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Cyclic polynomials in two variables

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBénéteau, Catherine
dc.contributor.authorKnese, Greg
dc.contributor.authorKosinski, Lukasz
dc.contributor.authorLiaw, Constanze
dc.contributor.authorSeco Forsnacke, Daniel
dc.contributor.authorSola, Alan A.
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-05-14T09:43:06Z
dc.date.available2021-05-14T09:43:06Z
dc.date.issued2016-12
dc.description.abstractWe give a complete characterization of polynomials in two complex variables that are cyclic with respect to the coordinate shifts acting on Dirichlet-type spaces in the bidisk, which include the Hardy space and the Dirichlet space of the bidisk. The cyclicity of a polynomial depends on both the size and nature of the zero set of the polynomial on the distinguished boundary. The techniques in the proof come from real analytic function theory, determinantal representations for polynomials, and harmonic analysis on curves.en
dc.description.sponsorshipThe second author was supported by NSF grant DMS-1363239. The third author was supported by NCN grant 2011/03/B/ST1/04758. The fourth author was partially supported by NSF grant DMS-1261687. The fifth author was supported by ERC Grant 2011-ADG-20110209 from EU programme FP2007-2013 and MEC/MICINN Project MTM2011-24606. The sixth author acknowledges support from the EPSRC under grant EP/103372X/1.en
dc.format.extent18
dc.identifier.bibliographicCitationBénéteau, C., Knese, G., Kosiński, U., Liaw, C., Seco, D. & Sola, A. (2016). Cyclic polynomials in two variables. Transactions of the American Mathematical Society, 368(12), pp. 8737–8754.en
dc.identifier.doihttps://doi.org/10.1090/tran6689
dc.identifier.issn0002-9947
dc.identifier.publicationfirstpage8737
dc.identifier.publicationissue12
dc.identifier.publicationlastpage8754
dc.identifier.publicationtitleTransactions of the American Mathematical Societyen
dc.identifier.publicationvolume368
dc.identifier.urihttps://hdl.handle.net/10016/32634
dc.identifier.uxxiAR/0000026421
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)en
dc.relation.projectIDGobierno de España. MTM2011-24606es
dc.rights© 2016 American Mathematical Societyen
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherCyclicityen
dc.subject.otherDirichlet-type spacesen
dc.subject.otherBidisken
dc.subject.otherDeterminantal representationsen
dc.titleCyclic polynomials in two variablesen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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