Applications of autoreproducing kernel Grammian moduli to \({\mathcal S}(U,H)\)-valued stationary random functions

DOI10.1016/0047-259X(85)90094-6zbMath0591.60037MaRDI QIDQ1074948

Benoît Truong-Van

Publication date: 1985

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

zbMATH Keywords

Hilbert-Schmidt operatorsinterpolation problemHilbert-Schmidt normautoreproducing propertyHilbert-Schmidt operator valued stationary processesLebesgue-Cramér decomposition of a process

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Vector-valued measures and integration (46G10) Prediction theory (aspects of stochastic processes) (60G25)

Related Items

Vector harmonizable processes:wold and Cramér decompositions

Cites Work

• On the Hellinger square integral with respect to an operator valued measure and stationary processes
• Wold-Cramer concordance theorems for interpolation of q-variate stationary processes over locally compact Abelian groups
• The Hellinger square-integrability of matrix-valued measures with respect to a non-negative hermitian measure
• Application of the Hellinger integrals to q-variate stationary stochastic processes
• Interpolation of q-variate homogeneous random fields
• On the Hellinger integrals and interpolation of q-variate stationary stochastic processes
• On singularity and Lebesgue type decomposition for operator-valued measueres
• Applications of autoreproducing kernel moduli to the study on interpolability and minimality of a class of stationary Hilbertian varieties
• Aronszajn-Kolmogorov type theorems for positive definite kernels in locally convex spaces
• On characterizations of interpolable and minimal stationary processes
• q-variate minimal stationary processes
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