scientific article; zbMATH DE number 3393527

zbMath0248.60028MaRDI QIDQ5660956

Vidyadhar Mandrekar, Gopinath Kallianpur

Publication date: 1971

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Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to abstract harmonic analysis (43-00)

Related Items (14)

Tangent fields, intrinsic stationarity, and self similarity ⋮ Prediction theory for stationary functional time series ⋮ Extrapolation of periodically correlated stochastic processes observed with noise ⋮ Hilbert B(H)-modules and stationary processes ⋮ Weakly stationary stochastic processes valued in a separable Hilbert space: Gramian-cramér representations and applications ⋮ Spectral representations and density operators for infinite-dimensional homogeneous random fields ⋮ A note on harmonizable and V-bounded processes ⋮ Approximation of Strictly Stationary Banach-Valued Random Sequence by Fourier Integral ⋮ Unnamed Item ⋮ Computing spectral measures and spectral types ⋮ The Wold decomposition of Hilbertian periodically correlated processes ⋮ Computing Spectral Measures of Self-Adjoint Operators ⋮ Strongly and weakly harmonizable stochastic processes of H-valued random variables ⋮ Applications of autoreproducing kernel Grammian moduli to \({\mathcal S}(U,H)\)-valued stationary random functions

Cites Work

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• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
• The factorization of operator valued functions
• On the structure of purely non-deterministic stochastic processes
• Semi-groups of isometries and the representation and multiplicity of weakly stationary stochastic processes
• Canonical representations of Gaussian processes and their applications
• On the Regularity of Spectral Densities

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