Positive definite matrix functions on spheres defined by hypergeometric functions

DOI10.1080/10652469.2019.1619177zbMath1428.33010OpenAlexW2945087936WikidataQ127815798 ScholiaQ127815798MaRDI QIDQ5231148

Valdir A. Menegatto, Jean C. Guella

Publication date: 26 August 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1619177

zbMATH Keywords

hypergeometric functionsspheresisotropycovariance functionsstrictly positive definitenesspositive definite matrix functions

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) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

Compactly-supported isotropic covariances on spheres obtained from matrix-valued covariances in Euclidean spaces ⋮ Pólya-type criteria for conditional strict positive definiteness of functions on spheres

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