Strictly positive definite kernels on a product of spheres. II.

DOI10.3842/SIGMA.2016.103zbMath1351.33013arXiv1605.09775OpenAlexW1755740240MaRDI QIDQ338175

Jean C. Guella, Valdir A. Menegatto, Ana Paula Peron

Publication date: 4 November 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/1605.09775

zbMATH Keywords

circlespherepositive definite kernelsisotropycovariance functionsstrictly positive definiteness

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Positive definite functions in one variable harmonic analysis (42A82) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (12)

Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus ⋮ Relations between Schoenberg coefficients on real and complex spheres of different dimensions ⋮ Equivalence and orthogonality of Gaussian measures on spheres ⋮ Modeling Temporally Evolving and Spatially Globally Dependent Data ⋮ Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach ⋮ Positive definite functions on products of metric spaces via generalized Stieltjes functions ⋮ A Gneiting-like method for constructing positive definite functions on metric spaces ⋮ Unitarily invariant strictly positive definite kernels on spheres ⋮ Schoenberg's theorem for positive definite functions on products: a unifying framework ⋮ Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres ⋮ Towards a complete picture of stationary covariance functions on spheres cross time ⋮ Characterization of strict positive definiteness on products of complex spheres

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