R. Adler and J. Taylor, Random Fields and Geometry, 2007.
DOI : 10.1137/1.9780898718980

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, vol.55, 1972.

V. S. Barbosa and V. A. Menegatto, Strictly positive definite kernels on compact two-point homogeneous spaces, Mathematical Inequalities & Applications, vol.19, issue.2, pp.743-756, 2016.
DOI : 10.7153/mia-19-54
URL : http://files.ele-math.com/abstracts/mia-19-54-abs.pdf

C. Berg, J. P. Christensen, and P. Ressel, Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions, 1984.
DOI : 10.1007/978-1-4612-1128-0

C. Berg and E. Porcu, From Schoenberg coefficients to Schoenberg functions. Constructive Approximation, pp.217-241, 2017.
DOI : 10.1007/s00365-016-9323-9
URL : http://arxiv.org/pdf/1505.05682

S. Castruccio and J. Guinness, An evolutionary spectrum approach to incorporate large-scale geographical descriptors on global processes, Journal of the Royal Statistical Society: Series C (Applied Statistics), vol.109, issue.2, pp.329-344, 2016.
DOI : 10.1007/s10584-011-0148-z
URL : http://arxiv.org/pdf/1507.03401

F. Dai and Y. Xu, Approximation theory and harmonic analysis on spheres and balls, 2013.
DOI : 10.1007/978-1-4614-6660-4

M. G. Genton and W. Kleiber, Cross-Covariance Functions for Multivariate Geostatistics (with discussion) Statistical Science, pp.147-163, 2015.
DOI : 10.1214/14-sts487
URL : http://arxiv.org/pdf/1507.08017

T. Gneiting, Strictly and non-strictly positive definite functions on spheres, Bernoulli, vol.19, issue.4, pp.1327-1349, 2013.
DOI : 10.3150/12-BEJSP06SUPP
URL : http://doi.org/10.3150/12-bejsp06

J. C. Guella and V. A. Menegatto, Strictly positive definite kernels on a product of spheres, Journal of Mathematical Analysis and Applications, vol.435, issue.1, pp.286-301, 2016.
DOI : 10.1016/j.jmaa.2015.10.026
URL : http://arxiv.org/pdf/1505.03695

J. C. Guella and V. A. Menegatto, Strictly positive definite kernels on a torus. Constructive Approximation, pp.271-284, 2017.
DOI : 10.1007/s00365-016-9354-2
URL : http://www.enama.org/wp-content/uploads/2016/01/LivroResumoEnama2015v2.pdf

J. C. Guella, V. A. Menegatto, and A. P. Peron, An extension of a theorem of Schoenberg to products of spheres, Banach Journal of Mathematical Analysis, vol.10, issue.4, pp.671-685, 2016.
DOI : 10.1215/17358787-3649260

J. C. Guella, V. A. Menegatto, and A. P. Peron, Strictly positive definite kernels on a product of circles, Positivity, vol.74, issue.250, pp.329-342, 2017.
DOI : 10.1023/A:1018915723982
URL : http://arxiv.org/pdf/1505.01169

R. Hankin, D. Murdoch, and A. Clausen, Wrapper for the Gnu Scientific Library, 2017.

M. Hitczenko and M. L. Stein, Some theory for anisotropic processes on the sphere, Statistical Methodology, vol.9, issue.1-2, pp.211-227, 2012.
DOI : 10.1016/j.stamet.2011.01.010

J. Jeong, M. Jun, and M. Genton, Spherical Process Models for Global Spatial Statistics, Statistical Science, vol.32, issue.4, pp.501-513, 2017.
DOI : 10.1214/17-STS620
URL : http://repository.kaust.edu.sa/kaust/bitstream/10754/626285/1/euclid.ss.1511838025.pdf

S. H. Jones, Stochastic Processes on a Sphere, The Annals of Mathematical Statistics, vol.34, issue.1, pp.213-218, 1963.
DOI : 10.1214/aoms/1177704257

M. Jun and M. L. Stein, An Approach to Producing Space???Time Covariance Functions on Spheres, Technometrics, vol.49, issue.4, pp.468-479, 2007.
DOI : 10.1198/004017007000000155

M. Jun and M. L. Stein, Nonstationary covariance models for global data, The Annals of Applied Statistics, vol.2, issue.4, pp.1271-1289, 2008.
DOI : 10.1214/08-AOAS183
URL : http://doi.org/10.1214/08-aoas183

A. Lang and C. Schwab, Isotropic random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. The Annals of Applied Probability, pp.3047-3094, 2013.
DOI : 10.1214/14-aap1067
URL : http://arxiv.org/pdf/1305.1170

D. Marinucci and G. Peccati, Random Fields on the Sphere, Representation, Limit Theorems and Cosmological Applications, 2011.

C. Müller, Spherical Harmonics, Lecture Notes in Mathematics, vol.17, 1966.
DOI : 10.1007/BFb0094775

F. J. Narcowich, Generalized Hermite Interpolation and Positive Definite Kernels on a Riemannian Manifold, Journal of Mathematical Analysis and Applications, vol.190, issue.1, pp.165-193, 1995.
DOI : 10.1006/jmaa.1995.1069
URL : https://doi.org/10.1006/jmaa.1995.1069

F. Novomestky, Collection of functions for orthogonal and orthonormal polynomials . R package version 1, pp.0-5, 2015.

E. Porcu, A. Alegría, and R. Furrer, Modeling Temporally Evolving and Spatially Globally Dependent Data, International Statistical Review, vol.142, issue.1, 2018.
DOI : 10.1090/S0002-9939-2014-11989-7
URL : https://doi.org/10.1111/insr.12266

E. Porcu, M. Bevilacqua, and M. G. Genton, Spatio-Temporal Covariance and Cross-Covariance Functions of the Great Circle Distance on a Sphere, Journal of the American Statistical Association, vol.111, issue.514, pp.111-888, 2016.
DOI : 10.1002/env.807

R. Team, R: A language and environment for statistical computing. R Foundation for Statistical Computing, 2013.

I. J. Schoenberg, Metric Spaces and Positive Definite Functions, pp.522-536, 1938.
DOI : 10.1007/978-1-4612-3946-8_8
URL : http://www.convexoptimization.com/TOOLS/Schoenberg3.pdf

I. J. Schoenberg, Positive Definite Functions on Spheres, Duke Mathematical Journal, vol.1, issue.1, pp.96-108, 1942.
DOI : 10.1007/978-1-4612-3948-2_13

M. L. Stein, SpaceTime Covariance Functions, Journal of the American Statistical Association, vol.469, pp.310-321, 2005.

M. L. Stein, Spatial variation of total column ozone on a global scale, The Annals of Applied Statistics, vol.1, issue.1, pp.191-210, 2007.
DOI : 10.1214/07-AOAS106
URL : http://doi.org/10.1214/07-aoas106

N. J. Vilenkin, Special Functions and the Theory of Group Representations, 1968.
DOI : 10.1090/mmono/022