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On spectral representations of tensor random fields on the sphere

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

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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
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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