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Table of Contents
PART 1
As a test, we write the Reproducing Property. A function $K: \mathcal{X}\times \mathcal{X}\to \mathbb{K}$ is a reproducing kernel of a Hilbert space if $K(\cdot,x)\in\mathcal{H}_{K}$ for all $x \in \mathcal{X}$ and we have that
\[\langle f,K(\cdot,x) \rangle_{\mathcal{H}_{K}} = f(x)\]for all $f\in \mathcal{H}$ and $x\in\mathcal{X}$
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PART 2
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PART 2 SUB PART 1
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PART 2 SUB PART 2
Duis.
FOOTNOTES
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