Ghost matrices and a characterization of symmetric Sobolev bilinear forms

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dc.contributor.authorKwon, Kil Hyunko
dc.contributor.authorLittlejohn, Lance L.ko
dc.contributor.authorYoon, G. J.ko
dc.date.accessioned2013-03-08T20:52:20Z-
dc.date.available2013-03-08T20:52:20Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2009-07-
dc.identifier.citationLINEAR ALGEBRA AND ITS APPLICATIONS, v.431, no.1-2, pp.104 - 119-
dc.identifier.issn0024-3795-
dc.identifier.urihttp://hdl.handle.net/10203/94263-
dc.description.abstractIn this paper, we characterize symmetric Sobolev bilinear forms defined on P x P, where P is the space of polynomials. More specifically we show that symmetric Sobolev bilinear forms, like symmetric matrices, can be re-written with a diagonal representation. As an application, we introduce the notion of a ghost matrix, extending some classic work of T.J. Stieltjes. (C) 2009 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE INC-
dc.subjectORTHOGONAL POLYNOMIALS-
dc.subjectMOMENT PROBLEM-
dc.subjectINNER-PRODUCT-
dc.titleGhost matrices and a characterization of symmetric Sobolev bilinear forms-
dc.typeArticle-
dc.identifier.wosid000266580400009-
dc.identifier.scopusid2-s2.0-65049083265-
dc.type.rimsART-
dc.citation.volume431-
dc.citation.issue1-2-
dc.citation.beginningpage104-
dc.citation.endingpage119-
dc.citation.publicationnameLINEAR ALGEBRA AND ITS APPLICATIONS-
dc.identifier.doi10.1016/j.laa.2009.02.014-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorLittlejohn, Lance L.-
dc.contributor.nonIdAuthorYoon, G. J.-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorOrthogonal polynomials-
dc.subject.keywordAuthorMoment functional-
dc.subject.keywordAuthorSymmetric bilinear form-
dc.subject.keywordAuthorGhost function-
dc.subject.keywordAuthorGhost matrix-
dc.subject.keywordPlusORTHOGONAL POLYNOMIALS-
dc.subject.keywordPlusMOMENT PROBLEM-
dc.subject.keywordPlusINNER-PRODUCT-
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