A matrix generalization of a theorem of Szegö

DOI10.1007/BF02056661zbMath0795.42003OpenAlexW2314499347MaRDI QIDQ2367059

Lutz Klotz

Publication date: 28 August 1994

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02056661

zbMATH Keywords

Fourier seriesRadon-Nikodým derivativeFejér means\(L^ p\)-spacesSzegö's theoremnon-negative Hermitian matrix-valued measures

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Prediction theory (aspects of stochastic processes) (60G25)

Related Items (3)

Extremal problems for matrix-valued polynomials on the unit circle and applications to multivariate stationary sequences. ⋮ On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials ⋮ Some Banach spaces of vector valued functions and an extremal problem

Cites Work

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• Prediction theory and Fourier series in several variables
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Die Anwendung einiger maß- und integrationstheoretischer Sätze aus matrizielle Riemann-Stieltjes-Integrale
• On the theory of stationary random processes
• On characterizations of interpolable and minimal stationary processes
• L^P Spaces from Matrix Measures

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