## Uniform approximation by minimum norm interpolation

Franz-Jürgen Delvos

### Abstract

Harmonic Hilbert spaces were introduced as an extension of periodic Hilbert spaces introduced by Babuška to the non-periodic case. In this paper we will investigate approximation by minimum norm interpolation in harmonic Hilbert spaces.

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### Key words

minimum norm interpolation, harmonic Hilbert spaces, remainders.

### AMS subject classifications

41A05, 41A25, 41A65, 65D05, 65T99.

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