Multi-scale correlation functions associated with polynomials of the diffusion operator


  • Max Yaremchuk,

    Corresponding author
    1. Naval Research Laboratory, Stennis Space Center, Mississippi, USA
    • Naval Research Laboratory, Bldg 1009, Stennis Space Center, MS 39529, USA.
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    • The contributions of these authors to this article were prepared as part of their official duties as United States Federal Government employees.

  • Alexei Sentchev

    1. Laboratoire d’Oceanologie et de Geosciences, Wimereux, France
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Correlation functions associated with the inverse covariances represented by polynomials of the homogeneous diffusion operator D are obtained analytically for an arbitrary polynomial of D, constrained by the positive-definiteness condition of the covariance operator. Copyright © 2012 Royal Meteorological Society