Structure and entropy for positive-definite Toeplitz kernels on free semigroups

DOI10.1006/jmaa.2000.7240zbMath0987.47014OpenAlexW1979578911MaRDI QIDQ5927723

Gelu Popescu

Publication date: 28 January 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/74c041b8c87f5a13487554f50310c6cdd3203080

zbMATH Keywords

predictionentropyinterpolationCarathéodory interpolationfree semigroupsharmonic analysis on Fock spacesmaximal outer factorsnoncommutative dilation theorypositive-definite Toeplitz kernelsstationary stochastic processesstochastic \(n\)-linear systemsSzegő infimumSzegő type limit theorems

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (max. 100)

Extensions of positive definite functions on free groups ⋮ Schur parameters, Toeplitz matrices, and Kreĭn shorted operators ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Operator theory on noncommutative domains ⋮ Hyper-positive definite functions I: scalar case, branching-type stationary stochastic processes ⋮ Noncommutative transforms and free pluriharmonic functions

Cites Work

• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
• Prediction theory and Fourier series in several variables
• Prediction theory and Fourier series in several variables. II
• The commutant lifting approach to interpolation problems
• On intertwining dilations for sequences of noncommuting operators
• Multi-analytic operators on Fock spaces
• Schur parameters, factorization and dilation problems
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Structure and entropy for Toeplitz kernels
• Positive-Defininte Functions on Free Semigroups
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