Unitarily invariant strictly positive definite kernels on spheres

DOI10.1007/s11117-017-0502-0zbMath1388.42006OpenAlexW2616717730MaRDI QIDQ1746016

Jean C. Guella, Valdir A. Menegatto

Publication date: 19 April 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-017-0502-0

zbMATH Keywords

unitary groupZernike polynomials

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) Positive definite functions on groups, semigroups, etc. (43A35)

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Strictly positive definite functions on compact two-point homogeneous spaces: the product alternative ⋮ Relations between Schoenberg coefficients on real and complex spheres of different dimensions ⋮ Positive definite functions on complex spheres and their walks through dimensions ⋮ The turning arcs: a computationally efficient algorithm to simulate isotropic vector-valued Gaussian random fields on the \(d\)-sphere ⋮ Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres ⋮ Characterization of strict positive definiteness on products of complex spheres ⋮ Matrix-valued positive definite kernels given by expansions: strict positive definiteness

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