Convolution roots and differentiability of isotropic positive definite functions on spheres

DOI10.1090/S0002-9939-2014-11989-7zbMath1305.42004arXiv1201.5833MaRDI QIDQ5418523

Johanna F. Ziegel

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5833

zbMATH Keywords

covariance functionradial basis functionspherical convolutionconvolution rootturning bands operatorisotropic positive definite function

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Positive definite functions in one variable harmonic analysis (42A82) Harmonic analysis in several variables (42B99) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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Uses Software

• DLMF

Cites Work

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