ABSTRACT
Harmonizable processes are considered as Fourier transforms of vector measures. The incremental processes derived from harmonizable processes are examined here. In particular, they are seen to be harmonizable too, and are used to establish results concerning the derivatives and definite integrals of harmonizable processes (both of which turn out to be harmonizable too).
The nth moment of a vector measure is introduced and it is suggested that there may be a theory that connects harmonizable processes to their corresponding vector measures much as characteristic functions are connected to their corresponding probability measures.
Finally, a result concerning the moving averages of harmonizable processes with continuous parameter is updated to include moving average representations of the derivative of these harmonizable processes too.
