The factorization problem for nonnegative operator valued functions
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Publication:5616410
DOI10.1090/S0002-9904-1971-12671-XzbMath0214.12102MaRDI QIDQ5616410
Marvin Rosenblum, James Rovnyak
Publication date: 1971
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)
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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
- A multi-dimensional prediction problem
- The factorization of operator valued functions
- Extremal representation of stationary stochastic processes
- Shift invariant spaces and prediction theory
- Vectorial Toeplitz operators and the Fejer-Riesz theorem
- A generalized Paley-Wiener theorem
- On factoring matrix valued functions
- Strongly Subharmonic Functions.
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