Publication
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
| dc.contributor.author | Branquinho, A. | |
| dc.contributor.author | Rebocho, M. N. | |
| dc.date.accessioned | 2020-02-06T11:10:37Z | |
| dc.date.available | 2020-02-06T11:10:37Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this paperwe characterize sequences of orthogonal polynomials on the unit circle whose Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of matrix Sylvester differential equations. For the particular case of semi-classical orthogonal polynomials on the unit circle, it is derived a characterization in terms of first order linear differential systems. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | A. Branquinho and M.N. Rebocho, Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle, Bulletin of the Belgian Mathematical Society - Simon Stevin 17 (2010), 355-376. | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9055 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.subject | Orthogonal polynomials on the unit circle | pt_PT |
| dc.subject | Matrix Sylvester differential equations | pt_PT |
| dc.subject | Matrix Riccati differential equations | pt_PT |
| dc.subject | Measures on the unit circle | pt_PT |
| dc.subject | Semi-classical class | pt_PT |
| dc.title | Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBD%2F25426%2F2005/PT | |
| oaire.fundingStream | SFRH | |
| person.familyName | Branquinho | |
| person.familyName | Rebocho | |
| person.givenName | Amílcar | |
| person.givenName | Maria das Neves | |
| person.identifier.ciencia-id | 4D14-4372-DACE | |
| person.identifier.ciencia-id | 3A16-8064-19AD | |
| person.identifier.orcid | 0000-0003-4685-1583 | |
| person.identifier.orcid | 0000-0002-5004-6758 | |
| person.identifier.rid | M-3511-2013 | |
| person.identifier.scopus-author-id | 6602396069 | |
| person.identifier.scopus-author-id | 23994228800 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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