A relative Grace Theorem for complex polynomials

dc.contributor.authorPlaumann, Daniel
dc.contributor.authorPutinar, Mihai
dc.date.accessioned2016-06-24T07:39:23Z
dc.date.available2016-06-24T07:39:23Z
dc.date.issued2016eng
dc.description.abstractWe study the pullback of the apolarity invariant of complex polynomials in one variable under a polynomial map on the complex plane. As a consequence, we obtain variations of the classical results of Grace and Walsh in which the unit disk, or a circular domain, is replaced by its image under the given polynomial map.eng
dc.description.versionpublishedeng
dc.identifier.arxiv1410.5935v2eng
dc.identifier.doi10.1017/S0305004116000062eng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/34523
dc.language.isoengeng
dc.subject.ddc510eng
dc.titleA relative Grace Theorem for complex polynomialseng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Plaumann2016relat-34523,
  year={2016},
  doi={10.1017/S0305004116000062},
  title={A relative Grace Theorem for complex polynomials},
  number={01},
  volume={161},
  issn={0305-0041},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  pages={17--30},
  author={Plaumann, Daniel and Putinar, Mihai}
}
kops.citation.iso690PLAUMANN, Daniel, Mihai PUTINAR, 2016. A relative Grace Theorem for complex polynomials. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2016, 161(01), pp. 17-30. ISSN 0305-0041. eISSN 1469-8064. Available under: doi: 10.1017/S0305004116000062deu
kops.citation.iso690PLAUMANN, Daniel, Mihai PUTINAR, 2016. A relative Grace Theorem for complex polynomials. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2016, 161(01), pp. 17-30. ISSN 0305-0041. eISSN 1469-8064. Available under: doi: 10.1017/S0305004116000062eng
kops.citation.rdf
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/34523">
    <dcterms:abstract xml:lang="eng">We study the pullback of the apolarity invariant of complex polynomials in one variable under a polynomial map on the complex plane. As a consequence, we obtain variations of the classical results of Grace and Walsh in which the unit disk, or a circular domain, is replaced by its image under the given polynomial map.</dcterms:abstract>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Plaumann, Daniel</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-06-24T07:39:23Z</dcterms:available>
    <dc:creator>Putinar, Mihai</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-06-24T07:39:23Z</dc:date>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Plaumann, Daniel</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/34523"/>
    <dc:contributor>Putinar, Mihai</dc:contributor>
    <dcterms:issued>2016</dcterms:issued>
    <dcterms:title>A relative Grace Theorem for complex polynomials</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
  </rdf:Description>
</rdf:RDF>
kops.flag.knbibliographytrue
kops.sourcefieldMathematical Proceedings of the Cambridge Philosophical Society. 2016, <b>161</b>(01), pp. 17-30. ISSN 0305-0041. eISSN 1469-8064. Available under: doi: 10.1017/S0305004116000062deu
kops.sourcefield.plainMathematical Proceedings of the Cambridge Philosophical Society. 2016, 161(01), pp. 17-30. ISSN 0305-0041. eISSN 1469-8064. Available under: doi: 10.1017/S0305004116000062deu
kops.sourcefield.plainMathematical Proceedings of the Cambridge Philosophical Society. 2016, 161(01), pp. 17-30. ISSN 0305-0041. eISSN 1469-8064. Available under: doi: 10.1017/S0305004116000062eng
relation.isAuthorOfPublication4b34d1cb-4838-49a4-9712-cabd69838277
relation.isAuthorOfPublication.latestForDiscovery4b34d1cb-4838-49a4-9712-cabd69838277
source.bibliographicInfo.fromPage17eng
source.bibliographicInfo.issue01eng
source.bibliographicInfo.toPage30eng
source.bibliographicInfo.volume161eng
source.identifier.eissn1469-8064eng
source.identifier.issn0305-0041eng
source.periodicalTitleMathematical Proceedings of the Cambridge Philosophical Societyeng

Dateien