Zastavnyi operators and positive definite radial functions

DOI10.1016/j.spl.2019.108620zbMath1456.42008arXiv1811.09266OpenAlexW2901734913WikidataQ127229058 ScholiaQ127229058MaRDI QIDQ2288775

Moreno Bevilacqua, Tarik Faouzi, I. N. Kondrashuk, Emilio Porcu

Publication date: 20 January 2020

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09266

zbMATH Keywords

Fourier transformsradial functionspositive definitecompletely monotonic

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82)

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Cites Work

• The missing Wendland functions
• Functional inequalities for modified Bessel functions
• Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure
• Interpolation of spatial data. Some theory for kriging
• Compactly supported correlation functions
• Compactly supported positive definite radial functions
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• Solution to Bethe-Salpeter equation via Mellin-Barnes transform
• Analytic and asymptotic properties of multivariate generalized Linnik's probability densities
• A new class of radial basis functions with compact support
• Stochastic Models That Separate Fractal Dimension and the Hurst Effect
• Positive-definite splines of special form
• Dimension walks and Schoenberg spectral measures

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