sk-Spline interpolation on Rn
Abstract
The main aim of this article is to introduce sk-splines on Rn and establish representations of cardinal sk-splines with knots and points of interpolation on the sets AZn, where A is an arbitrary nonsingular matrix. Such sets of points are analogs for Rn of number theoretic Korobov's grids on the torus and proved to be useful for problems of very high dimensionality.
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