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dc.contributor.authorBranquinho, A.-
dc.contributor.authorRebocho, M. N.-
dc.identifier.citationPré-Publicações DMUC. 08-16 (2008)en_US
dc.description.abstractIn this paper we characterize sequences of polynomials on the unit circle, orthogonal with respect to a Hermitian linear functional such that its corresponding Carath´eodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of matrix Sylvester differential equations. Furthermore, under certain conditions, we give a representation of such sequences in terms of semi-classical orthogonal polynomials on the unit circle. For the particular case of semi-classical orthogonal polynomials on the unit circle, a characterization in terms of first order differential systems is established.en_US
dc.description.sponsorshipCMUC; Department of Mathematics, University of Coimbra FCT; Fundacão para a Ciência e Tecnologia, SFRH/BD/25426/2005en_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.subjectCarathéodory functionen_US
dc.subjectMatrix Riccati differential equationsen_US
dc.subjectMatrix Sylvester differential equationsen_US
dc.subjectSemi-classical functionalsen_US
dc.subjectMeasures on the unit circleen_US
dc.titleMatrix Sylvester equations in the theory of orthogonal polynomials on the unit circleen_US
item.fulltextCom Texto completo-
item.languageiso639-1en- de Ciências e Tecnologia, Universidade de Coimbra- de Coimbra- for Mathematics, University of Coimbra-
Appears in Collections:FCTUC Matemática - Vários
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