On spectral theory of random fields in the ball

Leonenko, Nikolai ORCID: https://orcid.org/0000-0003-1932-4091, Malyarenko, Anatoly and Olenko, Andryi 2022. On spectral theory of random fields in the ball. Theory of Probability and Mathematical Statistics 107 , pp. 61-76. 10.1090/tpms/1175

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Abstract

The paper investigates random fields in the ball. It studies three types of such fields: restrictions of scalar random fields in the ball to the sphere, spin, and vector random fields. The review of the existing results and new spectral theory for each of these classes of random fields are given. Examples of applications to classical and new models of these three types are presented. In particular, the Matérn model is used for illustrative examples. The derived spectral representations can be utilised to further study theoretical properties of such fields and to simulate their realisations. The obtained results can also find various applications for modelling and investigating ball data in cosmology, geosciences and embryology.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	0094-9000
Date of First Compliant Deposit:	30 November 2021
Date of Acceptance:	12 November 2021
Last Modified:	07 Nov 2023 03:41
URI:	https://orca.cardiff.ac.uk/id/eprint/145832

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