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I was reading this paper and I came across Reproducing Kernel Hilbert Space. I tried to read some references related to it. However, I couldn't understand much. I didn't get why they are called reproducing kernels. Can anyone give me any pointers or easy references or explain a bit .Thanks

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Usually the word ``reproducing'' is justified in terms of the relation \begin{equation} f(x) = \langle f, K^x \rangle \end{equation} for $f$ in $H$, where $H$ is the reproducing kernel Hilbert space, $K$ is the reproducing kernel of $H$ and $K^x(y) := K(y,x)$.

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