Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/32347
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Câmara, M. C. | por |
dc.contributor.author | Malheiro, Teresa | por |
dc.date.accessioned | 2015-01-05T18:41:29Z | - |
dc.date.available | 2015-01-05T18:41:29Z | - |
dc.date.issued | 2014-10-01 | - |
dc.identifier.issn | 1420-8989 | por |
dc.identifier.uri | https://hdl.handle.net/1822/32347 | - |
dc.description.abstract | We 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.sponsorship | Fundação 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 COMPETE | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/121837/PT | - |
dc.rights | openAccess | por |
dc.subject | Riemann–Hilbert problems | por |
dc.subject | Toeplitz operators | por |
dc.subject | Factorization | por |
dc.subject | matrix equations | por |
dc.title | Riemann–Hilbert problems, Toeplitz operators and Q-classes | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs00020-014-2140-2 | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 239 | por |
oaire.citationEndPage | 264 | por |
oaire.citationIssue | 2 | por |
oaire.citationTitle | Integral Equations and Operator Theory | por |
oaire.citationVolume | 80 | por |
dc.identifier.doi | 10.1007/s00020-014-2140-2 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Integral Equations and Operator Theory | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |