Wiener’s contributions to generalized harmonic analysis, prediction theory and filter theory

DOI10.1090/S0002-9904-1966-11470-2zbMath0144.19402MaRDI QIDQ5520461

P. R. Masani

Publication date: 1966

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

statistics

Related Items (16)

Multivariate conditional Granger causality analysis for lagged response of soil respiration in a temperate forest ⋮ Constructive Markov chains indexed by \(\mathbb Z\) ⋮ Stationary processes whose filtrations are standard ⋮ On the exchange of intersection and supremum of \({\sigma}\)-fields in filtering theory ⋮ Means and autocorrelations in elastodynamics ⋮ Hybrid stochastic epidemic SIR models with hidden states ⋮ Unnamed Item ⋮ Sufficient conditions of standardness for filtrations of stationary processes taking values in a finite space ⋮ Further comments on the representation problem for stationary processes ⋮ Higher order spectral estimation for random fields ⋮ Szegő's theorem for matrix orthogonal polynomials ⋮ A survey of data smoothing for linear and nonlinear dynamic systems ⋮ Harmonic analysis and spectral estimation ⋮ Blue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors ⋮ The scientific methodology in the light of cybernetics ⋮ About Wiener’s Generalized Harmonic Analysis

Cites Work

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• On two problems concerning linear transformations in Hilbert space
• Deterministic and non-deterministic stationary random processes
• The Laurent Factorization of Operatorvalued Functions
• Lectures on Fourier Integrals. (AM-42)
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• On Multi-dimensional Regular Stationary Processes
• Isometric flows on Hilbert space
• Determination of the Spectrum of the Flow of Brownian Motion
• On the Relation Between Green's Functions and Covariances of Certain Stochastic Processes and Its Application to Unbiased Linear Prediction
• Stationary random distributions

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