Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropic covariance matrix functions on compact two-point homogeneous
  spaces   The covariance matrix function is characterized in this paper for a Gaussian
or elliptically contoured vector random field that is stationary, isotropic,
and mean square continuous on the compact two-point homogeneous space.
Necessary and sufficient conditions are derived for a symmetric and continuous
matrix function to be an isotropic covariance matrix function on all compact
two-point homogeneous spaces. It is also shown that, for a symmetric and
continuous matrix function with compact support, if it makes an isotropic
covariance matrix function in the Euclidean space, then it makes an isotropic
covariance matrix function on the sphere or the real projective space.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int