A lifting theorem for subordinated invariant kernels
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Publication:1074080
DOI10.1016/0022-1236(86)90030-3zbMath0589.47007OpenAlexW2006012317MaRDI QIDQ1074080
Publication date: 1986
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(86)90030-3
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions in one variable harmonic analysis (42A82) Trigonometric moment problems in one variable harmonic analysis (42A70)
Related Items (7)
The intertwining lifting theorem for ordered groups. ⋮ On some interrelations between the generalized Nehari problem for the Carathéodory class and prediction theory ⋮ Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings ⋮ Dilation of generalized Toeplitz kernels on ordered groups ⋮ On the extension problem for continuous positive definite generalized Toeplitz kernels definite on a finite interval ⋮ Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms ⋮ Factorization of operator valued analytic functions
Cites Work
- On the extensions of positive definite functions
- Generalized Toeplitz kernels and dilations of intertwining operators
- Generalized Toeplitz kernels, stationarity and harmonizability
- Factorization theorems for Hardy spaces in several variables
- Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions
- Generalized Interpolation in H ∞
- Theory of Reproducing Kernels
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