J Austral Math Soc Ser A 53 pp385--401, 1992.

Generlazied Harmonic Analysis of a Class of Nonstationary Random Fields

V. V. Anh and K. E. Lunney

Abstract

The paper gives a spectral representation for a class of random fields which are bounded in mean square almost surely. A characterization of the corresponding spectral measure in the representation is obtained based on Beurling's duality theory and generalized Fourier transforms. A representation for the covariance function of asymptotically stationary random fields is also derived.

1991 AMS Subject Classification: 60G60, 62M15

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Authors

V. V. Anh

K. E. Lunney

School of Mathematics, Queensland University of Technology, GPO Box 2434, Brisbane, Queensland 4001, Australia.