Zastavnyi operators and positive definite radial functions

Tarik Faouzi, Emilio Porcu, Moreno Bevilacqua, Igor Kondrashuk

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Article number108620
JournalStatistics and Probability Letters
StatePublished - Feb 2020


  • Completely monotonic
  • Fourier transforms
  • Positive definite
  • Radial functions


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