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Propagation of regularity and positive definiteness: a constructive approach

2018Journal article Restricted access
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dc.contributor.authorBuescu, Jorge
dc.contributor.authorPaixão, António
dc.contributor.authorOliveira, Claudemir
dc.date.accessioned2018-02-26T09:26:07Z
dc.date.available2018-02-26T09:26:07Z
dc.date.issued2018
dc.description.abstractWe show that, for positive de finite kernels, ifspecific forms of regularity (continuity, S-n-differentiability or holomorphy) hold locally on the diagonal, then they must hold globally on the whole domain of positive-definiteness. This local-toglobal propagation of regularity is constructively shown to be a consequence of the algebraic structure induced by the non-negativity of the associated bilinear forms up to order 5. Consequences of these results for topological groups and for positive definite and exponentially convex functions are explored.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBUESCU, Jorge; PAIXÃO, António; OLIVEIRA, Claudemir – Propagation of regularity and positive definiteness: a constructive approach. Zeitschrift fur Analysis und Ihre Anwendungen. ISSN 0232-2064. Vol. 37, N.º 1, (2018), pp. 1-24pt_PT
dc.identifier.doi10.4171/ZAA/1599pt_PT
dc.identifier.issn0232-2064
dc.identifier.issn1661-4534
dc.identifier.urihttp://hdl.handle.net/10400.21/8131
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherEuropean Mathematical Societypt_PT
dc.relationCAPES-Brazil - 10884-13-0pt_PT
dc.subjectPositive definite kernelspt_PT
dc.subjectPositive definite functionspt_PT
dc.subjectDifferentiabilitypt_PT
dc.subjectHolomorphypt_PT
dc.subjectConstructive approximationpt_PT
dc.subjectExponentially convex functionspt_PT
dc.titlePropagation of regularity and positive definiteness: a constructive approachpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.citation.endPage24pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleZeitschrift für Analysis und ihre Anwendungenpt_PT
oaire.citation.volume37pt_PT
oaire.fundingStream5876
person.familyNameBuescu
person.familyNamePaixão
person.givenNameJorge
person.givenNameAntónio
person.identifier.ciencia-id631B-B789-52D5
person.identifier.orcid0000-0001-5444-5089
person.identifier.orcid0000-0003-3158-4195
person.identifier.scopus-author-id6507693814
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication794cf4b2-ce83-40ab-bc77-d53913d6a851
relation.isAuthorOfPublication.latestForDiscoveryad68e200-7e35-40ac-bfb2-071a53e19514
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relation.isProjectOfPublication.latestForDiscoveryf474665c-537b-46cd-9822-9c5cda353701

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