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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/3944
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dc.contributor.authorKim, Kang-Taeen
dc.contributor.authorPoletsky, Evgenyen
dc.contributor.authorSchmalz, Gerden
dc.date.accessioned2009-12-21T10:09:00Z-
dc.date.issued2009-
dc.identifier.citationJournal of Geometric Analysis, 19(3), p. 655-666en
dc.identifier.issn1559-002Xen
dc.identifier.issn1050-6926en
dc.identifier.urihttps://hdl.handle.net/1959.11/3944-
dc.description.abstractThe main result of the paper is the following generalization of Forelli's theorem (Math. Scand. 41:358–364, 1977): Suppose 'F' is a holomorphic vector field with singular point at 'p', such that 'F' is linearizable at 'p' and the matrix is diagonalizable with eigenvalues whose ratios are positive reals. Then any function φ that has an asymptotic Taylor expansion at 'p' and is holomorphic along the complex integral curves of 'F' is holomorphic in a neighborhood of 'p'. We also present an example to show that the requirement for ratios of the eigenvalues to be positive reals is necessary.en
dc.languageenen
dc.publisherSpringer New York LLCen
dc.relation.ispartofJournal of Geometric Analysisen
dc.titleFunctions Holomorphic along Holomorphic Vector Fieldsen
dc.typeJournal Articleen
dc.identifier.doi10.1007/s12220-009-9078-7en
dc.subject.keywordsReal and Complex Functions (incl Several Variables)en
local.contributor.firstnameKang-Taeen
local.contributor.firstnameEvgenyen
local.contributor.firstnameGerden
local.subject.for2008010111 Real and Complex Functions (incl Several Variables)en
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolMathsen
local.profile.schoolMathsen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailkimkt@postech.ac.kren
local.profile.emaileapolets@syr.eduen
local.profile.emailschmalz@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20090902-143554en
local.publisher.placeUnited States of Americaen
local.format.startpage655en
local.format.endpage666en
local.identifier.scopusid84898014547en
local.peerreviewedYesen
local.identifier.volume19en
local.identifier.issue3en
local.contributor.lastnameKimen
local.contributor.lastnamePoletskyen
local.contributor.lastnameSchmalzen
dc.identifier.staffune-id:schmalzen
local.profile.orcid0000-0002-6141-9329en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:4041en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleFunctions Holomorphic along Holomorphic Vector Fieldsen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorKim, Kang-Taeen
local.search.authorPoletsky, Evgenyen
local.search.authorSchmalz, Gerden
local.uneassociationUnknownen
local.identifier.wosid000265214800009en
local.year.published2009en
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