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Spectral expansions of tensor-valued random fields
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0139-0747
2017 (English)In: AIP Conference Proceedings, Volume 1798, American Institute of Physics (AIP), 2017, Vol. 1798, p. 1-10, article id 020095Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we review the theory of random fields that are defined on the space domain ℝ3, take values in a real finite-dimensional linear space V that consists of tensors of a fixed rank, and are homogeneous and isotropic with respect to an orthogonal representation of a closed subgroup G of the group O(3). A historical introduction, the statement of the problem, some current results, and a sketch of proofs are included.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2017. Vol. 1798, p. 1-10, article id 020095
Series
AIP Conference Proceedings ; 1798
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-34744DOI: 10.1063/1.4972687ISI: 000399203000095Scopus ID: 2-s2.0-85013631679ISBN: 9780735414648 (print)OAI: oai:DiVA.org:mdh-34744DiVA, id: diva2:1069844
Conference
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016; University of La RochelleLa Rochelle; France; 4 July 2016 through 8 July 2016
Available from: 2017-01-30 Created: 2017-01-30 Last updated: 2017-09-30Bibliographically approved

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Malyarenko, Anatoliy

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  • nn-NB
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