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Stationary processes for translation operators.

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Stationary processes for translation operators. / Blower, G.
In: Proceedings of the London Mathematical Society, Vol. 72, No. 3, 1996, p. 697-720.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G 1996, 'Stationary processes for translation operators.', Proceedings of the London Mathematical Society, vol. 72, no. 3, pp. 697-720. https://doi.org/10.1112/plms/s3-72.3.697

APA

Blower, G. (1996). Stationary processes for translation operators. Proceedings of the London Mathematical Society, 72(3), 697-720. https://doi.org/10.1112/plms/s3-72.3.697

Vancouver

Blower G. Stationary processes for translation operators. Proceedings of the London Mathematical Society. 1996;72(3):697-720. doi: 10.1112/plms/s3-72.3.697

Author

Blower, G. / Stationary processes for translation operators. In: Proceedings of the London Mathematical Society. 1996 ; Vol. 72, No. 3. pp. 697-720.

Bibtex

@article{0db9931d3b2144708d8041291af8282d,
title = "Stationary processes for translation operators.",
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.",
author = "G. Blower",
year = "1996",
doi = "10.1112/plms/s3-72.3.697",
language = "English",
volume = "72",
pages = "697--720",
journal = "Proceedings of the London Mathematical Society",
issn = "1460-244X",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Stationary processes for translation operators.

AU - Blower, G.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

U2 - 10.1112/plms/s3-72.3.697

DO - 10.1112/plms/s3-72.3.697

M3 - Journal article

VL - 72

SP - 697

EP - 720

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 1460-244X

IS - 3

ER -