Dimension walks on hyperspheres

DOI10.1007/s40314-022-01912-4OpenAlexW4281973804MaRDI QIDQ2158543

Xavier Emery, Emilio Porcu, Ana Paula Peron

Publication date: 26 July 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01912-4

zbMATH Keywords

positive definitenessisotropic covariance functionsdescenteMontéereal spheresSchoenberg sequences

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Harmonic analysis on homogeneous spaces (43A85) Geostatistics (86A32) Positive definite functions in one variable harmonic analysis (42A82) Constructive real analysis (26E40)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-step recurrences for stationary random fields on the sphere
• La descente et la montée étendues [extended rises and descents: the spatially \(d\)-anisotropic and the spatio-temporal case]
• On alpha-symmetric multivariate distributions
• On the projections of isotropic distributions
• Operators on radial functions
• Compactly supported correlation functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the \(d\)-sphere
• Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
• Spectral simulation of isotropic Gaussian random fields on a sphere
• Dimension hopping and families of strictly positive definite zonal basis functions on spheres
• The expansion in Gegenbauer polynomials: a simple method for the fast computation of the Gegenbauer coefficients
• Positive definite functions on spheres
• Criteria of Pólya type for radial positive definite functions
• Derivatives of isotropic positive definite functions on spheres
• Geostatistics
• The intrinsic random functions and their applications
• Expansion formulas and addition theorems for Gegenbauer functions
• Dimension walks and Schoenberg spectral measures
• A Polya criterion for (strict) positive-definiteness on the sphere

This page was built for publication: Dimension walks on hyperspheres