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We investigate some asymptotic spectral properties of the collocation matrix arising in interpolation by pure radial sums and we provide some theoretical results that can be used for knot removal D epartement I T I ENST Bretagne BP Brest France x Introduction Given an arbitrary nite subset X fxig of IR d where d of pairwise distinct points called centres and a set of real valued data fzig the interpolation problem by radial basis functions consists of nding an inter polant of the form

Spectral Properties and Knot removal for Interpolation by Pure Radial Sums