Blower, G. (1996) Stationary processes for translation operators. Proceedings of the London Mathematical Society, 72 (3). pp. 697-720.
Full text not available from this repository.Official URL: http://dx.doi.org/10.1112/plms/s3-72.3.697
Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Proceedings of the London Mathematical Society |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 19523 |
| Deposited By: | ep_ss_importer |
| Deposited On: | 14 Nov 2008 10:33 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 15:31 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/19523 |
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