Equivalence and orthogonality of Gaussian measures on spheres

DOI10.1016/j.jmva.2018.05.005zbMath1409.60083OpenAlexW2803587464MaRDI QIDQ1661354

Moreno Bevilacqua, Ahmed Arafat, Emilio Porcu, Jorge Mateu

Publication date: 16 August 2018

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2018.05.005

zbMATH Keywords

positive definite functionschordal distanceSchoenberg coefficientsequivalence of Gaussian measuresgreat circle distance

Mathematics Subject Classification ID

Random fields (60G60) Positive definite functions in one variable harmonic analysis (42A82) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (6)

Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces ⋮ Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus ⋮ Spectral conditions for equivalence of Gaussian random fields with stationary increments ⋮ Generalised Wendland functions for the sphere ⋮ Nonparametric Bayesian modeling and estimation of spatial correlation functions for global data ⋮ Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere

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