Xingping Sun

A necessary and sufficient condition for strictly positive definite functions on spheres

Debao Chen, V‎. ‎A‎. Menegatto, Xingping Sun · Proceedings of the American Mathematical Society · 2003 · 114 citations · Full text

Strict Positive-definiteness, Generalized Function, Positive Definite Functions +3

Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions

Francis J. Narcowich, Xingping Sun, J. D. Ward et al. · Foundations of Computational Mathematics · 2006 · 76 citations · Full text

Numerical Analysis, Geometric Modeling, Geometric Interpolation +9

Strictly positive definite functions on spheres in Euclidean spaces

Amos Ron, Xingping Sun · Mathematics of Computation · 1996 · 43 citations · Full text

Kernel Approximation on Manifolds II: The $L_{\infty}$ Norm of the $L_2$ Projector

Thomas Hangelbroek, F. J. Narcowich, Xingping Sun et al. · SIAM Journal on Mathematical Analysis · 2011 · 35 citations · Full text

Approximation in rough native spaces by shifts of smooth kernels on spheres

Jeremy Levesley, Xingping Sun · Journal of Approximation Theory · 2005 · 32 citations

Engineering, Interpolation Space, Reproducing Kernel Method +7