Proper Moving Average Representations and Outer Functions in Two Variables

Leszek Gawarecki, Vidyadhar Mandrekar, Phillip Richard

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
JournalGeorgian Mathematical Journal
Volume8
StatePublished - Jan 1 2001

Keywords

  • outer functions
  • proper moving average representations
  • stationary random fields

Disciplines

  • Mathematics

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