A matrix version of a higher-order Szegő theorem (Q2029809)
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| Language | Label | Description | Also known as |
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| English | A matrix version of a higher-order Szegő theorem |
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A matrix version of a higher-order Szegő theorem (English)
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4 June 2021
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Based on author's abstract: There is extended a higher-order sum rule by \textit{B. Simon} [Orthogonal polynomials on the unit circle. Part 1: Classical theory. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1082.42020)] to matrix valued measures on the unit circle. There are used matrix Verblunsky coefficients which are associated with the Szegő recursion of polynomials in \(z=e^{i\theta}\) orthogonal in \(L^2([0,2\pi),d\mu)\).
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sum rules
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Szegő's theorem
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Verblunsky coefficients
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matrix measures on the unit circle
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relative entropy
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