Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle

Rakhmanov’s theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in order that the reflection coefficients (the recurrence coefficients in the Szeg˝o recurrence relation) converge to zero. In this paper we give the analog for orthogonal matrix polynomials on the unit circle.

• Type: Journal
• Year: 2007
• Where: JAT
• Authors: Walter Van Assche
• Keywords: JAT 2006, JAT 2007, Orthogonal Matrix Polynomials, Orthogonal Polynomials, Unit Circle