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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Reproducing Kernel of a RKHS of continuous functions may not be continuous in two variables ...

Let $\mathcal{K}$ be a Hilbert Space of continuous functions on some topological space, where point evaluations are continuous linear functional on $\mathcal{K}$. That is $\mathcal{K}$ is RKHS, suppos …
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