Compactly-supported isotropic covariances on spheres obtained from matrix-valued covariances in Euclidean spaces

DOI10.1007/s00365-022-09603-3OpenAlexW4221143766MaRDI QIDQ6096002

Nadia Mery, Farzaneh Khorram, Xavier Emery, Emilio Porcu

Publication date: 11 September 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-022-09603-3

zbMATH Keywords

spectral densitypositive semidefinite functionsmultiply monotone functionsSchoenberg sequencedirect and cross-covariances

Mathematics Subject Classification ID

Random fields; image analysis (62M40)

Cites Work

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• Strictly and non-strictly positive definite functions on spheres
• Generalized Askey functions and their walks through dimensions
• Closed form representations for a class of compactly supported radial basis functions
• Multiply monotone functions and their Laplace transforms
• Correlation theory of stationary and related random functions. Volume I: Basic results
• Radial positive definite functions generated by Euclid's hat
• The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the \(d\)-sphere
• Dimension walks on hyperspheres
• Isotropic positive definite functions on spheres
• Spectral simulation of isotropic Gaussian random fields on a sphere
• Grünbaum's inequality for Bessel functions
• Positive definite functions on spheres
• Stochastic representations of isotropic vector random fields on spheres
• Geostatistics
• Random Fields on the Sphere
• On Positive-Definite Functions
• A new class of radial basis functions with compact support
• Positive definite functions on the unit sphere and integrals of Jacobi polynomials
• Positive-definite splines of special form
• Algorithm 1013
• Positive definite matrix functions on spheres defined by hypergeometric functions
• Isotropic positive definite functions on spheres generated from those in Euclidean spaces
• Covariance Tapering for Likelihood-Based Estimation in Large Spatial Data Sets
• A Polya criterion for (strict) positive-definiteness on the sphere
• Orthogonal Expansions with Positive Coefficients

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