A note on harmonizable and V-bounded processes

DOI10.1016/0047-259X(85)90055-7zbMath0561.60041MaRDI QIDQ2266521

Yûichirô Kakihara

Publication date: 1985

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

zbMATH Keywords

locally compact Abelian groupalgebra of all bounded linear operatorsstationary dilationHarmonizability of Rozanov type

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Prediction theory (aspects of stochastic processes) (60G25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (9)

Structure and moving average representation for multidimensional strongly harmonizable processes ⋮ Series representations and Karhunen processes ⋮ A classification of vector harmonizable processes ⋮ Gramian Schauder basic measures and Gramian uniformly bounded linearly stationary processes ⋮ Vector harmonizable processes:wold and Cramér decompositions ⋮ On integration in Banach spaces, XI. Integration with respect to polymeasures ⋮ On integration in Banach spaces. X: Integration with respect to polymeasures ⋮ On integration in Banach spaces, VIII. Polymeasures ⋮ Strongly and weakly harmonizable stochastic processes of H-valued random variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a Hilbert module over an operator algebra and its application to harmonic analysis
• Positive definite function and direct product Hilbert space
• \(C\)-Bimeasures \(\varLambda\) and their integral extensions
• Hilbert B(H)-modules and stationary processes
• Harmonizable processes: Structure theory
• Banach space-valued random variables and tensor products of Banach spaces
• Infinite-variate wide-sense Markov processes and functional analysis for bounded operator-forming vectors
• Transformation valued measures
• Quasi-isometric dilations of operator-valued measures and Grothendieck's inequality
• L'intégration par rapport à une mesure de Radon vectorielle
• Spectral Analysis of Abstract Functions
• Representation of weakly harmonizable processes
• On orthogonally scattered dilations of bounded vector measures
• Theory of Reproducing Kernels
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: A note on harmonizable and V-bounded processes