Infinite-variate wide-sense Markov processes and functional analysis for bounded operator-forming vectors

DOI10.1016/0047-259X(78)90081-7zbMath0387.60098OpenAlexW2065250286MaRDI QIDQ1249900

Milton Rosenberg

Publication date: 1978

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(78)90081-7

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Normed linear spaces and Banach spaces; Banach lattices (46B99) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Inner product spaces and their generalizations, Hilbert spaces (46C99) Prediction theory (aspects of stochastic processes) (60G25) Markov processes (60J99)

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Cites Work

• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
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• Operator-Valued wide-sense Markov processes and solutions of infinite-dimensional linear differential systems driven by white noise
• Mutual subordination of multivariate stationary processes over any locally compact abelian group
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