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A general form of the covariance matrix function is derived in this paper fora vector random field that is isotropic and mean square continuous on a compactconnected two-point homogeneous space and stationary on a temporal domain. Aseries representation is presented for such a vector random field, whichinvolve Jacobi polynomials and the distance defined on the compact two-pointhomogeneous space.

Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous Spaces