12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Stationary processes for translation operators.
View graph of relations

« Back

Stationary processes for translation operators.

Research output: Contribution to journalJournal article

Published

Journal publication date1996
JournalProceedings of the London Mathematical Society
Journal number3
Volume72
Number of pages24
Pages697-720
Original languageEnglish

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.