Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/32347

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dc.contributor.authorCâmara, M. C.por
dc.contributor.authorMalheiro, Teresapor
dc.date.accessioned2015-01-05T18:41:29Z-
dc.date.available2015-01-05T18:41:29Z-
dc.date.issued2014-10-01-
dc.identifier.issn1420-8989por
dc.identifier.urihttp://hdl.handle.net/1822/32347-
dc.description.abstractWe generalize the notion of Q-classes C(Q1,Q2) , which was introduced in the context of Wiener–Hopf factorization, by considering very general 2 × 2 matrix functions Q1, Q2. This allows us to use a mainly algebraic approach to obtain several equivalent representations for each class, to study the intersections of Q-classes and to explore their close connection with certain non-linear scalar equations. The results are applied to various factorization problems and to the study of Toeplitz operators with symbol in a Q-class. We conclude with a group theoretic interpretation of some of the main results.por
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT/Portugal), through Project PTDC/MAT/121837/2010 and Project Est- C/MAT/UI0013/2011. The first author was also supported by the Center for Mathematical Analysis, Geometry, and Dynamical Systems and the second author was also supported by the Centre of Mathematics of the University of Minho through the FEDER Funds Programa Operacional Factores de Competitividade COMPETEpor
dc.language.isoengpor
dc.publisherSpringer por
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/121837/PT-
dc.rightsopenAccesspor
dc.subjectRiemann–Hilbert problemspor
dc.subjectToeplitz operatorspor
dc.subjectFactorizationpor
dc.subjectmatrix equationspor
dc.titleRiemann–Hilbert problems, Toeplitz operators and Q-classespor
dc.typearticlepor
dc.peerreviewedyespor
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs00020-014-2140-2por
sdum.publicationstatuspublishedpor
oaire.citationStartPage239por
oaire.citationEndPage264por
oaire.citationIssue2por
oaire.citationTitleIntegral Equations and Operator Theorypor
oaire.citationVolume80por
dc.identifier.doi10.1007/s00020-014-2140-2por
dc.subject.fosCiências Naturais::Matemáticaspor
dc.subject.wosScience & Technologypor
sdum.journalIntegral Equations and Operator Theorypor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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