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On interpolation with products of positive definite functions

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Abstract

In this paper we consider the problem of scattered data interpolation for multivariate functions. In order to solve this problem, linear combinations of products of positive definite kernel functions are used. The theory of reproducing kernels is applied. In particular, it follows from this theory that the interpolating functions are solutions of some varational problems.

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  1. Institut für Angewandte Mathematik, Universität Erlangen–Nürnberg, Martensstr. 3, D-91058, Erlangen, Germany

    Hans Strauss

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  1. Hans Strauss
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Strauss, H. On interpolation with products of positive definite functions. Numerical Algorithms 15, 153–165 (1997). https://doi.org/10.1023/A:1019141803590

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