Blower, G. (1996) Stationary processes for translation operators. Proceedings of the London Mathematical Society, 72 (3). pp. 697-720. ISSN 1460-244XFull text not available from this repository.
We consider the class of gaussian processes on complete manifolds of bounded curvature which are stationary under the generalised translation operation generated by the Laplace–Beltrami operator. We give a sufficient condition on the spectral density for the sample paths to be almost surely continuous. We provide a sufficient condition for a positive definite function on X x X to be the covariance function of a stationary process.
|Journal or Publication Title:||Proceedings of the London Mathematical Society|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited On:||14 Nov 2008 10:33|
|Last Modified:||23 May 2016 01:04|
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