Eigenvalues of Positive Definite Kernels

DOI10.1137/0514012zbMath0521.45001OpenAlexW4249196948MaRDI QIDQ3671661

John B. Reade

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514012

zbMATH Keywords

eigenfunction expansionsMercer's theoremeigenvalue seriesWeyl-Courant minimax principlecontinuously differentiable positive definite kerneltrace integral

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05) Eigenvalue problems for integral equations (45C05)

Related Items (15)

Eigenvalues of integral operators with smooth positive definite kernels ⋮ Eigenvalues of positive definite integral operators on unbounded intervals ⋮ Eigenvalue decay rates for positive integral operators ⋮ The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator ⋮ Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ On the K-functional in learning theory ⋮ A Continuation Method in Bayesian Inference ⋮ On spectral distribution of kernel matrices related to radial basis functions ⋮ Differentiable positive definite kernels and Lipschitz continuity ⋮ Spectral decay for definite kernels and functions ⋮ Sparse high order FEM for elliptic sPDEs ⋮ Addressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain size ⋮ Differentiable Positive Definite Kernels on Spheres ⋮ On eigenvalues of differentiable positive definite kernels ⋮ On the Compressibility of Tensors

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