Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle

zbMath1196.33006MaRDI QIDQ983866

M. N. Rebocho, Amílcar Branquinho

Publication date: 13 July 2010

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1274896211

zbMATH Keywords

Carathéodory functionmatrix Sylvester differential equationsmeasures on the unit circlematrix Riccati differential equationssemiclassical class

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47) Matrix and operator functional equations (39B42)

Related Items (3)

Deformed Laguerre-Hahn orthogonal polynomials on the real line ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ On differential equations for orthogonal polynomials on the unit circle

This page was built for publication: Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle