Recently, I heard that intuitively any function $f$ in a RKHS $\mathcal H$ looks like a sum of kernels. Can someone explain this intuition and can it be made precise?
2026-03-26 12:47:54.1774529274
Functions in an RKHS look like sums of kernels?
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Following @g-g's comment, $\mathrm{span}\{ K_x \mid x \in X\}$ is dense in $\mathcal H$.
$K_x$ is the function in $\mathcal H$ associated with the evaluation functional $L_x$: $$ L_x(f) := f(x) = \langle f, K_x \rangle.$$