On spectral representations of tensor random fields on the sphere
Probability
2012-02-15 v1 Cosmology and Nongalactic Astrophysics
Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.0912.3389,
title = {On spectral representations of tensor random fields on the sphere},
author = {Nikolai Leonenko and Ludmila Sakhno},
journal= {arXiv preprint arXiv:0912.3389},
year = {2012}
}
Comments
21 pages