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Generalised harmonic analysis of a class of nonstationary random fields
Published online by Cambridge University Press: 09 April 2009
Abstract
The paper gives a spectral representation for a class of random fields which are bounded in mean square almost surely. A characterisation of the corresponding spectral measure in the representation is obtained based on Beurling's duality theory and generalised Fourier transforms. A representation for the covariance function of asymptotically stationary random fields is also derived.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 53 , Issue 3 , December 1992 , pp. 385 - 401
- Copyright
- Copyright © Australian Mathematical Society 1992
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