VECTOR HARMONIZABLE PROCESSES - WOLD AND CRAMER DECOMPOSITIONS

For a weakly operator harmonizable process a relation between the Wold decompositions of the original process and of its operator stationary dilation process is obtained. The Cramer decomposition is defined for weakly operator harmonizable processes and is considered in connection with their operator stationary dilation processes. Some equivalence conditions for the Wold-Cramer concordance are also stated.