Leonenko, Nikolai N. and Sakhno, Lyudmyla 2012. On spectral representations of tensor random fields on the sphere. Stochastic Analysis and Applications 30 (1) , pp. 44-66. 10.1080/07362994.2012.628912 |
Official URL: http://dx.doi.org/10.1080/07362994.2012.628912
Abstract
We study the representations of tensor random fields on the sphere basing on the theory of representations of the rotation group. Introducing specific components of a tensor field and imposing the conditions of weak isotropy and mean square continuity, we derive their spectral decompositions in terms of generalized spherical functions. The properties of random coefficients of the decompositions are characterized, including such an important question as conditions of Gaussianity.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Uncontrolled Keywords: | Generalized spherical functions, Group representations, Spectral decomposition, Spherical random fields, Tensor fields |
Publisher: | Taylor and Francis |
ISSN: | 0736-2994 |
Last Modified: | 04 Jun 2017 03:57 |
URI: | http://orca.cf.ac.uk/id/eprint/29557 |
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