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On spectral theory of random fields in the ball
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK.ORCID iD: 0000-0003-1932-4091
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
La Trobe University, Australia.ORCID iD: 0000-0002-0917-7000
2022 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 107, p. 61-76Article in journal (Refereed) Published
Abstract [en]

The paper investigates random fields in the ball. It studies three typesof such fields: restrictions of scalar random fields in the ball to the sphere, spin, andvector random fields. The review of the existing results and new spectral theory foreach of these classes of random fields are given. Examples of applications to classicaland new models of these three types are presented. In particular, the Mat´ern modelis used for illustrative examples. The derived spectral representations can be utilisedto further study theoretical properties of such fields and to simulate their realisations.The obtained results can also find various applications for modelling and investigatingball data in cosmology, geosciences and embryology.

Place, publisher, year, edition, pages
Providence, PA, 2022. Vol. 107, p. 61-76
Keywords [en]
Random fields, spectral theory, spin, isotropic, random fields in the ball, spherical random fields, Mat´ern covariance.
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-60613DOI: 10.1090/tpms/1175ISI: 000884091400001Scopus ID: 2-s2.0-85142348496OAI: oai:DiVA.org:mdh-60613DiVA, id: diva2:1710948
Available from: 2022-11-15 Created: 2022-11-15 Last updated: 2022-11-30Bibliographically approved

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Malyarenko, Anatoliy

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