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

Authors:
Walter Van Assche
Affiliations:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium
Venue:
Journal of Approximation Theory
Year:
2007

Citing 5
Cited 1

Topics in matrix analysis

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Abstract

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 Szego recurrence relation) converge to zero. In this paper we give the analog for orthogonal matrix polynomials on the unit circle.