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


97% 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


<mark>Journal publication date</mark>1996
<mark>Journal</mark>Proceedings of the London Mathematical Society
Number of pages24
<mark>Original language</mark>English


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.