Decay of Singular Values of Power Series Kernels on the Sphere

DOI10.1080/01630563.2015.1136890zbMath1358.45001OpenAlexW2339168972MaRDI QIDQ3188446

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Publication date: 19 August 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1136890

zbMATH Keywords

eigenvaluesingular valuesunit ballGaussian kernelcompact integral operatorspower series kernels

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05)

Related Items (1)

Nuclearity for power series kernels in higher dimensions

Cites Work

• Unnamed Item
• Power series kernels
• Integral operators on the sphere generated by positive definite smooth kernels
• Positive definite dot product kernels in learning theory
• Multivariate interpolation by polynomials and radial basis functions
• Eigenvalue decay of positive integral operators on the sphere
• Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere
• Integration Over Spheres and the Divergence Theorem for Balls
• Eigenvalues of Positive Power Series Kernels
• Eigenvalue and singular value estimates for integral operators: a unifying approach
• Spherical Harmonics
• Traces and determinants of linear operators

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