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On the multilinear Hausdorff problem of moments

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dc.contributor.authorIbort, A.
dc.contributor.authorLinares, P.
dc.contributor.authorLlavona, José G.
dc.date.accessioned2023-06-19T13:23:18Z
dc.date.available2023-06-19T13:23:18Z
dc.date.issued2014-01
dc.description.abstractGiven a multi-index sequence necessary and sufficient conditions are given for the existence of a regular Borel polymeasure on the unit interval such that . This problem will be called the weak multilinear Hausdorff problemof moments for . Comparison with classical results will allow us to relate the weak multilinear Hausdorff problem with the multivariate Hausdorff problem. A solution to the strong multilinear Hausdorff problem of moments will be provided by exhibiting necessary and sufficient conditions for the existence of a Radon measure on such that where is the -linear moment functional on the space of continuous functions on the unit interval defined by the sequence . Finally the previous results will be used to provide a characterization of a class of weakly harmonizable stochastic processes with bimeasures supported on compact sets.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipSpain MICIN
dc.description.sponsorshipQUITEMAD
dc.description.sponsorshipFundacion Caja Madrid
dc.description.sponsorshipFPU-MEC
dc.description.sponsorship"Programa de formacion del profesorado universitario del MEC"
dc.description.sponsorshipMTM 2006-03531
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24704
dc.identifier.doi10.1007/s13163-013-0123-5
dc.identifier.issn1139-1138
dc.identifier.officialurlhttp://link.springer.com/article/10.1007/s13163-013-0123-5
dc.identifier.relatedurlhttp://www.springer.com/
dc.identifier.relatedurlhttp://arxiv.org/pdf/1203.2967v1.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33479
dc.issue.number1
dc.journal.titleRevista matemática complutense
dc.language.isoeng
dc.page.final224
dc.page.initial213
dc.publisherSpringer
dc.relation.projectIDMTM2010-21186-C02-2
dc.relation.projectIDP2009 ESP-1594
dc.relation.projectIDAP-2004-4843
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordProblem of moments
dc.subject.keywordMultilinear functionals
dc.subject.keywordPolymeasures
dc.subject.keywordSecond order stochastic processes
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleOn the multilinear Hausdorff problem of moments
dc.typejournal article
dc.volume.number27
dspace.entity.typePublication

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