Blower, G. (1996) *Stationary processes for translation operators.* Proceedings of the London Mathematical Society, 72 (3). pp. 697-720. ISSN 1460-244X

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 |
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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: | 19 Jan 2017 01:16 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19523 |

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