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The Equivalence Theory of Native Spaces

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Approximation Theory and Its Applications

Abstract

In this paper some equivalence definitions are given for native spaces which were introduced by Madych and Nelson and have become influential in the theory of radial basis functions. The abstract elements in native spaces are interpreted. Moreover, Weinrich and Iske's theories are unified.

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Luh, LT. The Equivalence Theory of Native Spaces. Analysis in Theory and Applications 17, 76–96 (2001). https://doi.org/10.1023/A:1015548200895

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  • DOI: https://doi.org/10.1023/A:1015548200895

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