64 citations · 175 across the 9 of their papers we have counts for
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Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
T. Hangelbroek, F. J. Narcowich, J. D. Ward
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting. For a wide class of compact, connected Riemanni…
Cardinal Interpolation with Gaussian Kernels
Thomas Hangelbroek, Wolodymyr Madych, F. J. Narcowich +1
In this paper, interpolation by scaled multi-integer translates of Gaussian kernels is studied. The main result establishes Sobolev error estimates and shows that the error i…
Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant
Thomas Hangelbroek, Fran J. Narcowich, Joe D. Ward
The purpose of this paper is to establish that for any compact, connected C^{\infty} Riemannian manifold there exists a robust family of kernels of increasing smoothness that are w…