Invariant random fields in vector bundles and application to cosmology∗
نویسنده
چکیده
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.
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تاریخ انتشار 2009