Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11261
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branquinho, A. | - |
dc.contributor.author | Rebocho, M. N. | - |
dc.date.accessioned | 2009-08-31T13:24:12Z | - |
dc.date.available | 2009-08-31T13:24:12Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Pré-Publicações DMUC. 08-16 (2008) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11261 | - |
dc.description.abstract | In 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.sponsorship | CMUC; Department of Mathematics, University of Coimbra FCT; Fundacão para a Ciência e Tecnologia, SFRH/BD/25426/2005 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Carathéodory function | en_US |
dc.subject | Matrix Riccati differential equations | en_US |
dc.subject | Matrix Sylvester differential equations | en_US |
dc.subject | Semi-classical functionals | en_US |
dc.subject | Measures on the unit circle | en_US |
dc.title | Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
crisitem.author.orcid | 0000-0002-5004-6758 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Matrix Sylvester equations in the theory of orthogonal polynomials.pdf | 192.22 kB | Adobe PDF | View/Open |
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