Eigenvalues of integral operators with smooth positive definite kernels

DOI10.1007/BF01194301zbMath0635.45001MaRDI QIDQ1097455

Thomas Kühn

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

positive definite kernelsasymptotic eigenvalue behaviour

Mathematics Subject Classification ID

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

Related Items (14)

Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere ⋮ Eigenvalue decay rates for positive integral operators ⋮ Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ On the K-functional in learning theory ⋮ Small scale CLTs for the nodal length of monochromatic waves ⋮ Eigenvalue and singular value estimates for integral operators: a unifying approach ⋮ Integral operators on the sphere generated by positive definite smooth kernels ⋮ Posterior convergence for Bayesian functional linear regression ⋮ Eigenvalues of integral operators with positive definite kernels satisfying integrated Hölder conditions over metric compacta ⋮ Random field representations for stochastic elliptic boundary value problems and statistical inverse problems ⋮ Differentiable Positive Definite Kernels on Spheres ⋮ Universal kernels which are continuous on the diagonal ⋮ Eigenvalue decay of positive integral operators on the sphere ⋮ Fundamental Sets of Functions on Locally Compact Abelian Groups

Cites Work

• Eigenvalues of Positive Definite Kernels II
• Eigenvalues of Positive Definite Kernels
• On the Sharpness of Weyl’s Estimate for Eigenvalues of Smooth Kernels
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