Mathematics – Probability
Scientific paper
2009-07-27
Mathematics
Probability
39 pages, 3 tables
Scientific paper
We develop the theory of invariant random fields in vector bundles. The spectral decomposition of an invariant random field in a homogeneous vector bundle generated by an induced representation of a compact connected Lie group $G$ is obtained. We discuss an application to the theory of cosmic microwave background, where $G=SO(3)$. A theorem about equivalence of two different groups of assumptions in cosmological theories is proved.
Malyarenko Anatoliy
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