One-step recurrences for stationary random fields on the sphere

DOI10.3842/SIGMA.2016.043zbMath1347.42009arXiv1601.07743MaRDI QIDQ288688

Wolfgang Zu Castell, Rick K. Beatson

Publication date: 27 May 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07743

zbMATH Keywords

Gegenbauer polynomialsfractional integrationpositive definite zonal functionsstationary random fieldsultraspherical expansions

Mathematics Subject Classification ID

Random fields (60G60) Inference from spatial processes (62M30) Stationary stochastic processes (60G10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (5)

Strictly positive definite kernels on a product of spheres. II. ⋮ Dimension walks on hyperspheres ⋮ Positive definite functions on complex spheres and their walks through dimensions ⋮ Positive definite functions on the unit sphere and integrals of Jacobi polynomials ⋮ Dimension walks on \(\mathbb{S}^d \times \mathbb{R}\)

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