Zastavnyi operators and positive definite radial functions

Tarik Faouzi; Emilio Porcu; Moreno Bevilacqua; Igor Kondrashuk

doi:10.1016/j.spl.2019.108620

Zastavnyi operators and positive definite radial functions

Tarik Faouzi, Emilio Porcu, Moreno Bevilacqua, Igor Kondrashuk

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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

Original language	English
Article number	108620
Journal	Statistics and Probability Letters
Volume	157
DOIs	https://doi.org/10.1016/j.spl.2019.108620
State	Published - Feb 2020

Keywords

Completely monotonic
Fourier transforms
Positive definite
Radial functions

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10.1016/j.spl.2019.108620

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title = "Zastavnyi operators and positive definite radial functions",

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 Mat{\'e}rn, Generalized Cauchy and Wendland families.",

keywords = "Completely monotonic, Fourier transforms, Positive definite, Radial functions",

author = "Tarik Faouzi and Emilio Porcu and Moreno Bevilacqua and Igor Kondrashuk",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2020",

month = feb,

doi = "10.1016/j.spl.2019.108620",

language = "English",

volume = "157",

journal = "Statistics and Probability Letters",

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T1 - Zastavnyi operators and positive definite radial functions

AU - Faouzi, Tarik

AU - Porcu, Emilio

AU - Bevilacqua, Moreno

AU - Kondrashuk, Igor

PY - 2020/2

Y1 - 2020/2

N2 - 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.

AB - 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.

KW - Completely monotonic

KW - Fourier transforms

KW - Positive definite

KW - Radial functions

UR - http://www.scopus.com/inward/record.url?scp=85072873950&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2019.108620

DO - 10.1016/j.spl.2019.108620

M3 - Article

AN - SCOPUS:85072873950

SN - 0167-7152

VL - 157

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

M1 - 108620

ER -

Zastavnyi operators and positive definite radial functions

Abstract

Keywords

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