Thomas Hangelbroek

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Approximation/interpolation from spaces of positive definite or conditionally positive definite kernels is an increasingly popular tool for the analysis and synthesis of scattered data and is central to many meshless methods. For a set of N scattered sites, the standard basis for such a space utilizes N globally supported kernels; computing with it is(More)
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 compact set Ω ⊂ R d when the translates are restricted to Ω. Fundamentality is not hard to demonstrate when a low degree polynomial may be added or when translates are permitted to(More)
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