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  • 1.
    Ma, Chunsheng
    et al.
    Wichita State University, USA.
    Malyarenko, Anatoliy
    Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.
    Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous SpacesIn: Journal of theoretical probability, ISSN 0894-9840, E-ISSN 1572-9230Article in journal (Refereed)
    Abstract [en]

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

  • 2.
    Malyarenko, Anatoliy
    et al.
    Mälardalen University, School of Education, Culture and Communication.
    Ma, Chunsheng
    Wichita State University.
    Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous SpacesManuscript (preprint) (Other academic)
    Abstract [en]

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

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