Publication:
Continuous symmetrized Sobolev inner products of order N (I)

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBueno Cachadiña, María Isabel
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorSánchez Ruiz, Jorge
dc.date.accessioned2009-12-04T09:28:10Z
dc.date.available2009-12-04T09:28:10Z
dc.date.issued2005-06-01
dc.description14 pages, no figures.-- MSC2000 codes: 42C05
dc.descriptionMR#: MR2132890 (2005k:42068)
dc.descriptionZbl#: Zbl 1076.42017
dc.description.abstractGiven a symmetrized Sobolev inner product of order N, the corresponding sequence of monic orthogonal polynomials {Qn} satisfies that Q_2n(x)=Pn(x2), Q_2n+1(x)=xRn(x2) for certain sequences of monic polynomials {Pn} and {Rn}. In this paper, we deduce the integral representation of the inner products such that {Pn} and {Rn} are the corresponding sequences of orthogonal polynomials. Moreover, we state a relation between both inner products which extends the classical result for symmetric linear functionals.
dc.description.sponsorshipThe work of the authors has been partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grants BFM 2003-06335-C03-02 (M.I.B., F.M., J.S.R.) and BFM2001-3878-C02-01 (J.S.R.), NATO collaborative grant PST.CLG.979738 (M.I.B., F.M.), and the Junta de Andalucía research group FQM-0207 (J.S.R).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Mathematical Analysis and Applications, 2005, vol. 306, n. 1, p. 83-96
dc.identifier.doi10.1016/j.jmaa.2004.11.052
dc.identifier.issn0022-247X
dc.identifier.urihttps://hdl.handle.net/10016/5946
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jmaa.2004.11.052
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherSobolev inner product
dc.subject.otherOrthogonal polynomials
dc.subject.otherSymmetrization process
dc.titleContinuous symmetrized Sobolev inner products of order N (I)
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
continuous_marcellan_jmaa_2005_ps.pdf
Size:
397.26 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - GAMA - Artículos de Revistas