Bimeasures and Sampling Theorems for Weakly Harmonizable Processes

摘要

The process be described in this report can be determined by sampling at fixed intervals nh, n = 0, + or - 1,... , h = pi/alpha > 0. A corresponding result is also obtained for a more general Cramer class. To carry out this analysis, it is necessary to use the properties of bimeasures. Some aspects of the bimeasure theory and its distinction from the Lebesgue theory are included. This is used essentially for the analysis of harmonizable processes, and has independent interest.