A necessary and sufficient condition for strictly positive definite functions on spheres D Chen, VA Menegatto, X Sun
Proceedings of the American Mathematical Society, 2733-2740, 2003
156 2003 Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions FJ Narcowich, X Sun, JD Ward, H Wendland
Foundations of Computational Mathematics 7, 369-390, 2007
81 2007 Conditionally positive definite functions and Laplace-Stieltjes integrals K Guo, S Hu, X Sun
Journal of approximation theory 74 (3), 249-265, 1993
70 1993 Strictly positive definite functions on spheres in Euclidean spaces A Ron, X Sun
Mathematics of computation 65 (216), 1513-1530, 1996
65 1996 Approximation power of RBFs and their associated SBFs: a connection FJ Narcowich, X Sun, JD Ward
Advances in Computational Mathematics 27, 107-124, 2007
57 2007 On separation of minimal Riesz energy points on spheres in Euclidean spaces ABJ Kuijlaars, EB Saff, X Sun
Journal of computational and applied mathematics 199 (1), 172-180, 2007
45 2007 Approximation in rough native spaces by shifts of smooth kernels on spheres J Levesley, X Sun
Journal of Approximation Theory 133 (2), 269-283, 2005
45 2005 Kernel Approximation on Manifolds II: The Norm of the Projector T Hangelbroek, FJ Narcowich, X Sun, JD Ward
SIAM journal on mathematical analysis 43 (2), 662-684, 2011
40 2011 Conditionally positive definite functions and their application to multivariate interpolations XP Sun
Journal of approximation theory 74 (2), 159-180, 1993
40 1993 The fundamentality of sets of ridge functions X Sun, EW Cheney
aequationes mathematicae 44, 226-235, 1992
39 1992 A simple approach to the variational theory for interpolation on spheres J Levesley, W Light, D Ragozin, X Sun
New Developments in Approximation Theory: 2 nd International Dortmund …, 1999
32 1999 Distance matrices and ridge function interpolation L Reid, X Sun
Canadian journal of mathematics 45 (6), 1313-1323, 1993
29 1993 Fundamental sets of continuous functions on spheres X Sun, EW Cheney
Constructive Approximation 13, 245-250, 1997
27 1997 Learning capability of relaxed greedy algorithms S Lin, Y Rong, X Sun, Z Xu
IEEE transactions on neural networks and learning systems 24 (10), 1598-1608, 2013
23 2013 Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates Z Wu, X Sun, L Ma
Advances in Computational Mathematics 38, 187-205, 2013
22 2013 Spherical basis functions and uniform distribution of points on spheres X Sun, Z Chen
Journal of approximation theory 151 (2), 186-207, 2008
20 2008 Norm estimates of interpolation matrices and their inverses associated with strictly positive definite functions J Levesley, Z Luo, X Sun
Proceedings of the American Mathematical Society 127 (7), 2127-2134, 1999
19 1999 LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres FJ Narcowich, X Sun, JD Ward, Z Wu
Journal of Approximation Theory 162 (6), 1256-1278, 2010
18 2010 Energies, group-invariant kernels and numerical integration on compact manifolds SB Damelin, J Levesley, DL Ragozin, X Sun
Journal of Complexity 25 (2), 152-162, 2009
17 2009 Strictly positive definite functions on the unit circle X Sun
Mathematics of computation 74 (250), 709-721, 2005
17 2005