Publication:
The Sobolev-type moment problem

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorSzafraniec, Franciszek H.
dc.date.accessioned2009-12-17T11:21:36Z
dc.date.available2009-12-17T11:21:36Z
dc.date.issued2000-08
dc.description9 pages, no figures.-- MSC2000 codes: Primary 44A99; Secondary 47B15, 47B20, 47B25.
dc.descriptionMR#: MR1694873 (2000k:44006)
dc.descriptionZbl#: Zbl 0951.44002
dc.description.abstractWe propose necessary and sufficient conditions for a bisequence of complex numbers to be a moment one of Sobolev type over the real line, the unit circle and the complex plane. We achieve this through converting the moment problem in question into a matrix one and utilizing some techniques coming from operator theory. This allows us to consider the Sobolev type moment problem in its full generality, not necessarily in the diagonal case and even of infinite order.
dc.description.sponsorshipThis research carried out within the framework of scientific and technical cooperation between Spain and Poland was supported by the Ministry of Foreign Affairs of Spain and the Committee of Scientific Research (KBN) of Poland, grand 07/R98. The work of Francisco Marcellán was also partially supported by Dirección General de Enseñanza Superior (DGES) of Spain, grant PB96-0120C03-01 and INTAS project INTAS-93-219Ext.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationProceedings of the American Mathematical Society, 2000, vol. 128, n. 8, p. 2309-2317
dc.identifier.issn0002-9939 (Print)
dc.identifier.issn1088-6826 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6143
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.publisherversionhttp://www.jstor.org/stable/119820
dc.rights© American Mathematical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherSobolev-type moment problem
dc.subject.otherPositive operators
dc.subject.otherInner product
dc.subject.otherOrthogonal polynomials
dc.subject.otherMoment sequence of Sobolev type
dc.subject.otherMatrix moment problems
dc.titleThe Sobolev-type moment problem
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
sobolev_marcellan_pams_2000.pdf
Size:
167.68 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - GAMA - Artículos de Revistas