34 citations · 36 across the 3 of their papers we have counts for
3 papers
Better bases for kernel spaces
E. J. Fuselier, T. C. Hangelbroek, F. J. Narcowich +2
In this article we investigate the feasibility of constructing stable, local bases for computing with kernels. In particular, we are interested in constructing families $(b_ξ)_{ξ\i…
On the density of polyharmonic splines
Thomas Hangelbroek, Jeremy Levesley
This article treats the question of fundamentality of the translates of a polyharmonic spline kernel (also known as a surface spline) in the space of continuous functions on a comp…
Kernel Approximation on Manifolds II: The -norm of the -projector
Thomas Hangelbroek, Fran J Narcowich, Xingping Sun +1
This article addresses two topics of significant mathematical and practical interest in the theory of kernel approximation: the existence of local and stable bases and the L_p--bou…