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INFINITE DIMENSIONAL STATIONARY RANDOM FIELDS OVER A LOCALLY COMPACT ABELIAN GROUP

HERBERT HEYER

Universität Tübingen, Morgenstelle 10, 72076, Tübingen, Germany

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and

M. M. RAO

University of California at Riverside, Riverside, CA 92521, USA

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https://doi.org/10.1142/S0129167X12500292Cited by:0 (Source: Crossref)

Abstract

In this paper we consider spectral representation of infinite dimensional stationary random fields over an abelian locally compact (or LCA) group, and then extend the results of earlier authors who consider wide sense Markov random fields over a Euclidean group ℝⁿ to the general LCA group context and obtain minimality properties. We also indicate possibilities of some extensions of these results to certain nonstationary classes.

Keywords:

AMSC: Primary 60G60, Primary 60G57, Secondary 60G10, Secondary 43A25

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