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Zastavnyi operators and positive definite radial functions

Author

Listed:
  • Faouzi, Tarik
  • Porcu, Emilio
  • Bevilacqua, Moreno
  • Kondrashuk, Igor

Abstract

we consider a new operator acting on rescaled weighted differences between two members of the class Φd of positive definite radial functions. In particular, we study the positive definiteness of the operator for the Matérn, Generalized Cauchy and Wendland families.

Suggested Citation

  • Faouzi, Tarik & Porcu, Emilio & Bevilacqua, Moreno & Kondrashuk, Igor, 2020. "Zastavnyi operators and positive definite radial functions," Statistics & Probability Letters, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:stapro:v:157:y:2020:i:c:s0167715219302664
    DOI: 10.1016/j.spl.2019.108620
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    Cited by:

    1. Alegría, Alfredo & Emery, Xavier, 2024. "Matrix-valued isotropic covariance functions with local extrema," Journal of Multivariate Analysis, Elsevier, vol. 200(C).

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