Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11261
Title: Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
Authors: Branquinho, A. 
Rebocho, M. N. 
Keywords: Carathéodory function; Matrix Riccati differential equations; Matrix Sylvester differential equations; Semi-classical functionals; Measures on the unit circle
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-16 (2008)
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.
URI: http://hdl.handle.net/10316/11261
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

Files in This Item:
File Description SizeFormat
Matrix Sylvester equations in the theory of orthogonal polynomials.pdf192.22 kBAdobe PDFView/Open
Show full item record

Page view(s) 50

277
checked on Dec 2, 2019

Download(s)

38
checked on Dec 2, 2019

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.