Strictly positive definite functions on spheres

DOI10.1016/J.JAT.2024.106120MaRDI QIDQ6658098

Tianshi Lu

Publication date: 8 January 2025

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

positive definite functioncompletely monotonic functiontruncated power function

Mathematics Subject Classification ID

Random fields (60G60) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

• Title not available (Why is that?)
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• The missing Wendland functions
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• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Isotropic positive definite functions on spheres
• Time-varying isotropic vector random fields on compact two-point homogeneous spaces
• Positive definite functions on spheres
• Strictly positive definite kernels on compact two-point homogeneous spaces
• Random Fields on the Sphere
• Positive Integrals of Bessel Functions
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Isotropic positive definite functions on spheres generated from those in Euclidean spaces
• A Polya criterion for (strict) positive-definiteness on the sphere

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