• Login
    View Item 
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Stochastic representations of isotropic vector random fields on spheres

    Date
    2016
    Author
    Ma, Chunsheng
    Metadata
    Show full item record
    Citation
    Ma, Chunsheng. 2016. Stochastic representations of isotropic vector random fields on spheres. Stochastic Analysis and Applications, vol. 34:no. 3:pp 389-403
    Abstract
    A stochastic representation is derived for a vector random field that is stationary, isotropic, and mean square continuous on a sphere or unit circle. The established stochastic representation is an infinite series involving the sequence of ultraspherical or Gegenbauer's polynomials, looks like a mimic of the series representation of the covariance matrix function of the isotropic vector random field, but differs from the spectral representation in terms of the ordinary spherical harmonics. It is also shown in this paper that some isotropic and continuous covariance matrix functions on the real line or R-3, if they are compactly supported, can be adopted as covariance matrix functions on the unit circle or S-3.
    Description
    Click on the DOI link to access the article (may not be free).
    URI
    http://dx.doi.org/10.1080/07362994.2015.1136562
    http://hdl.handle.net/10057/12152
    Collections
    • MATH Research Publications

    Browse

    All of Shocker Open Access RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV