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 | 157 | 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 | 66 | 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 |
Conditionally positive definite functions and their application to multivariate interpolations XP Sun Journal of approximation theory 74 (2), 159-180, 1993 | 41 | 1993 |
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 |
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 |
Strictly positive definite functions on the unit circle X Sun Mathematics of computation 74 (250), 709-721, 2005 | 18 | 2005 |
Multivariate Monte Carlo approximation based on scattered data W Gao, X Sun, Z Wu, X Zhou SIAM Journal on Scientific Computing 42 (4), A2262-A2280, 2020 | 17 | 2020 |