Integral operators on the sphere generated by positive definite smooth kernels

DOI10.1016/j.jco.2008.04.001zbMath1157.45008OpenAlexW2064829175MaRDI QIDQ958249

Valdir A. Menegatto, Ana Paula Peron, José Claudinei Ferreira

Publication date: 3 December 2008

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2008.04.001

zbMATH Keywords

eigenvaluesspherepositive definite kernelsintegral operatorseigenvalue estimates

Mathematics Subject Classification ID

Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Related Items (12)

Decay of Singular Values of Power Series Kernels on the Sphere ⋮ Eigenvalue decay rates for positive integral operators ⋮ An extension of Mercer's theory to \(L^p\) ⋮ Laplace-Beltrami differentiability of positive definite kernels on the sphere ⋮ Estimates on the derivatives and analyticity of positive definite functions on \(\mathbb{R}^m\) ⋮ Eigenvalue and singular value estimates for integral operators: a unifying approach ⋮ Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere ⋮ Integral operators generated by multi-scale kernels ⋮ Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere ⋮ Adaptive estimation of nonparametric geometric graphs ⋮ Differentiable Positive Definite Kernels on Spheres ⋮ Eigenvalue decay of positive integral operators on the sphere

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