Integral operators on the sphere generated by positive definite smooth kernels
type: Item
instance of: scholarly article
title: Integral operators on the sphere generated by positive definite smooth kernels
zbMATH Open document ID: 1157.45008
published in: Journal of Complexity
publication date: 2008-12-03T00:00:00Z
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 45C05
zbMATH DE Number: 5377202
zbMATH Keywords: sphere
zbMATH Keywords: positive definite kernels
zbMATH Keywords: integral operators
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvalue estimates
author: José C. Ferreira
author: Valdir A. Menegatto
author: Ana P. Peron
MaRDI profile type: Publication
full work available at URL: j.jco.2008.04.001
OpenAlex ID: W2064829175
cites work: Conditionally positive functions and p-norm distance matrices
cites work: Q2762587
cites work: Q3755956
cites work: Kolmogorov width of classes of smooth functions on the sphere \(\mathbb S^{d-1}\)
cites work: On eigenvalues of differentiable positive definite kernels
cites work: Eigenvalues of integral operators with positive definite kernels satisfying integrated Hölder conditions over metric compacta
cites work: Differentiable positive definite kernels and Lipschitz continuity
cites work: Q3805333
cites work: Traces and determinants of linear operators
cites work: Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
cites work: Q5690469
cites work: Q3998992
cites work: Q3995847
cites work: Eigenvalues of integral operators with smooth positive definite kernels
cites work: Optimal approximation on \(S^d\)
cites work: Differentiable Positive Definite Kernels on Spheres
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Mercer’s Theorem, Feature Maps, and Smoothing
cites work: Q3665727
cites work: Hyperinterpolation on the sphere at the minimal projection order
cites work: Q4946318
cites work: A unified theory of radial basis functions. Native Hilbert spaces for radial basis functions. II
DOI: 10.1016/J.JCO.2008.04.001
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description: scientific article; zbMATH DE number 5377202