Strictly positive definite kernels on a product of spheres

DOI10.1016/j.jmaa.2015.10.026zbMath1427.43010arXiv1505.03695OpenAlexW2963400552MaRDI QIDQ892321

Jean C. Guella, Valdir A. Menegatto

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03695

zbMATH Keywords

positive definite kernelsGegenbauer polynomialsisotropyproduct of spheresSchoenberg theoremstrictly positive definite

Mathematics Subject Classification ID

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

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Cites Work

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• An extension of a theorem of Schoenberg to products of spheres
• Strictly and non-strictly positive definite functions on spheres
• Spherical harmonics and approximations on the unit sphere. An introduction
• Analysis of spherical symmetries in Euclidean spaces
• Strictly positive definite kernels on a product of circles
• Positive definite functions on spheres
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Approximation Theory and Harmonic Analysis on Spheres and Balls

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