Eigenvalue decay of positive integral operators on the sphere

DOI10.1090/S0025-5718-2012-02595-6zbMath1277.45001MaRDI QIDQ2840013

Mario Castro, Valdir A. Menegatto

Publication date: 17 July 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

spherepositive definite kernelssingular valuesLaplace-Beltrami derivativeseigenvalues decay ratesLaplace-Beltrami differentiabilityHilbert-Smidt integral operatorsLaplace-Beltrami integral

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05)

Related Items (11)

Decay of Singular Values of Power Series Kernels on the Sphere ⋮ Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ On the K-functional in learning theory ⋮ Approximation tools and decay rates for eigenvalues of integral operators on a general setting ⋮ Laplace-Beltrami differentiability of positive definite kernels on the sphere ⋮ The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method ⋮ 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 ⋮ Differentiability of bizonal positive definite kernels on complex spheres ⋮ Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues of integral operators with positive definite kernels satisfying integrated Hölder conditions over metric compacta
• Eigenvalues of integral operators defined by smooth positive definite kernels
• Integral operators on the sphere generated by positive definite smooth kernels
• Eigenvalues of integral operators with smooth positive definite kernels
• s-numbers of integral operators with Hölder continuous kernels over metric compacta
• Eigenvalue distribution of compact operators
• Harmonic Function Theory
• Old and New on the Laplace-Beltrami Derivative
• Convergence for Summation Methods with Multipliers on the Sphere
• Positive Definite $C^p $ Kernels
• Spherical Harmonics
• Uniqueness Theory for Laplace Series
• Traces and determinants of linear operators

This page was built for publication: Eigenvalue decay of positive integral operators on the sphere