Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle |
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Authors: | Walter Van Assche |
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Affiliation: | aDepartment of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium |
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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 Szegő recurrence relation) converge to zero. In this paper we give the analog for orthogonal matrix polynomials on the unit circle. |
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Keywords: | Orthogonal matrix polynomials Rakhmanov's theorem Reflection coefficients |
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