Strongly and weakly harmonizable stochastic processes of H-valued random variables

DOI10.1016/0047-259X(86)90064-3zbMath0589.60034OpenAlexW2046162582MaRDI QIDQ1074220

Yûichirô Kakihara

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0047-259x(86)90064-3

zbMATH Keywords

Hilbert space-valued stochastic processesmeasures and bimeasuresoperator-valuedstrong harmonizable processesvariation and semivariationweakly harmonizable process

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Vector-valued measures and integration (46G10) Probability theory on linear topological spaces (60B11)

Related Items

Series representations and Karhunen processes ⋮ A classification of vector harmonizable processes ⋮ On integration in Banach spaces, XI. Integration with respect to polymeasures ⋮ On integration in Banach spaces. X: Integration with respect to polymeasures ⋮ Spectral domains of vector harmonizable processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semivariation and operator semivariation of Hilbert space valued measures
• Hilbert B(H)-modules and stationary processes
• Harmonizable processes: Structure theory
• Banach space-valued random variables and tensor products of Banach spaces
• Spectral integrals of operator-valued functions. II: From the study of stationary processes
• A note on harmonizable and V-bounded processes
• Spectral Analysis of Abstract Functions
• Representation of weakly harmonizable processes