SPECTRAL ANALYSIS OF MULTIVARIATE STATIONARY RANDOM FUNCTIONS ON SOME MASSIVE GROUPS
OLEKSANDER PONOMARENKO AND YURIY PERUNTheory of Stochastic Processes Vol.13 (29), no.4, 2007, pp.177–182
The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class is additive group of real vector space equipped with the finite topology.
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