L. Gavarecki, V. Mandrekar, P. Richard

Proper Moving Average Representations and Outer Functions in Two Variables

abstract:
In this work, we consider the problem of moving average representations for random fields. As in the Kolmogorov--Wiener case, such representations lead to interesting questions in harmonic analysis in the polydisc. In particular, we study outer functions with respect to half-space, semigroup and quarterplane and their interrelations.