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Dimension walks on hyperspheres

Published:2022-06-09 Issue:5 Volume:41 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Emery Xavier^ORCID,Peron Ana Paula,Porcu Emilio

Funder

Agencia Nacional de Investigación y Desarrollo

Fundação de Amparo a Pesquisa do Estado de Sao Paulo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-022-01912-4.pdf

Reference38 articles.

1. Alegría A, Emery X, Lantuéjoul C (2020) The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the $$d$$-sphere. Stat Comput 30(5):1403–1418

2. Askey R (1975) Orthogonal polynomials and special functions. In: Regional conference series in applied mathematics, vol 21. SIAM, Philadelphia

3. Beatson RK, zu Castell W (2016) One-step recurrences for stationary random fields on the sphere. SIGMA Symmetry Integr Geom Methods Appl 12:043

4. Beatson RK, zu Castell W (2017) Dimension hopping and families of strictly positive definite zonal basis functions on spheres. J Approx Theory 221:22–37

5. Beatson RK, zu Castell W, Xu Y (2014) A Pólya criterion for (strict) positive-definiteness on the sphere. IMA J Numer Anal 34(2):550–568

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1. Compactly-Supported Isotropic Covariances on Spheres Obtained from Matrix-Valued Covariances in Euclidean Spaces;Constructive Approximation;2022-12-03

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