Proper Moving Average Representations and Outer Functions in Two Variables

Leszek Gawarecki; Vidyadhar Mandrekar; Phillip Richard

Proper Moving Average Representations and Outer Functions in Two Variables

Leszek Gawarecki, Vidyadhar Mandrekar, Phillip Richard

Kettering University

Research output: Contribution to journal › Article › peer-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 language	American English
Journal	Georgian Mathematical Journal
Volume	8
State	Published - Jan 1 2001

Keywords

outer functions
proper moving average representations
stationary random fields

Disciplines

Mathematics

Access to Document

https://www.emis.de/journals/GMJ/vol8/v8n2-6.pdf

Cite this

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AU - Mandrekar, Vidyadhar

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N2 - 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.

AB - 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.

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KW - proper moving average representations

KW - stationary random fields

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/7

UR - https://www.emis.de/journals/GMJ/vol8/v8n2-6.pdf

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JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

ER -

Proper Moving Average Representations and Outer Functions in Two Variables

Abstract

Keywords

Disciplines

Access to Document

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