Publication:
Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorAptekarev, A. I.
dc.contributor.authorLópez Lagomasino, Guillermo
dc.contributor.authorÁlvarez Rocha, Ignacio
dc.date.accessioned2010-01-07T12:55:06Z
dc.date.available2010-01-07T12:55:06Z
dc.date.issued2005-08
dc.description19 pages, no figures.-- MSC2000 codes: Primary 42C05, 41A21.-- Originally published in Russian language by the Russian Academy of Mathematics in: Matematicheskii Sbornik 196(8): 3–20 (2005).
dc.descriptionZbl#: Zbl 1077.42015
dc.description.abstractThe existence of ratio asymptotics is proved for a sequence of multiple orthogonal polynomials with orthogonality relations distributed among a system of m finite Borel measures with support on a bounded interval of the real line which form a so-called Nikishin system. For m=1 this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line.
dc.description.sponsorshipThe research of the first author was carried out with the support of the Russian Foundation for Basic Research (grant no. 02-01-00564), the Programme of Support of Leading Scientific Schools of RF (grant no. NSh-1551.2003.1), the RAS Programme ‘Current Problems of Theoretical Mathematics’, INTAS (grant no. 03-516637) and NATO PST.CLG (grant no. 979738). The research of the second author was carried out with the support of INTAS (grant no. 03-516637), NATO PST.CLG (grant no. 979738), and BFM (grant no. 2003-06335-C03-02). The research of the third author was carried out with the support BFM (grant no. 2003-06335-C03-02).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationSbornik Mathematics c/c of Matematicheskii Sbornik, 2005, vol. 196, n. 8, p. 1089-1107
dc.identifier.doi10.1070/SM2005v196n08ABEH002329
dc.identifier.issn1064-5616
dc.identifier.urihttps://hdl.handle.net/10016/6293
dc.language.isoeng
dc.publisherTurpion Ltd.
dc.relation.publisherversionhttp://dx.doi.org/10.1070/SM2005v196n08ABEH002329
dc.rights© Turpion Ltd.
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherHermite-Padé orthogonal polynomials
dc.subject.otherMultiple orthogonal polynomials
dc.subject.otherNikishin system
dc.subject.otherVarying measures
dc.subject.otherRatio asymptotic
dc.titleRatio asymptotics of Hermite-Padé polynomials for Nikishin systems
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ratio_lagomasino_ms_2005_ps.pdf
Size:
276.78 KB
Format:
Adobe Portable Document Format
Description:
postprint version
Download
Collections
DM - GAMA - Artículos de Revistas