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Martin Sleziak
Martin Sleziak
10:02 AM
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2 hours later…
Martin Sleziak
Martin Sleziak
12:24 PM
0
Q: Lower-bound for $\inf_{f \in H} \dfrac{\|\nabla f\|_{L^2(\tau_d)}}{\|f\|_H}$ for an RKHS $H$ induced by exponential kernel on sphere

dohmatobLet $S_{d-1}$ be the unit-sphere in $\mathbb R^d$ and let $\tau_d$ be the uniform probability measure thereupon. Let $H_K \subseteq L^2(\tau_d)$ be an RKHS of square $\tau_d$-integrable functions, induced by a continuous (and thus of type Mercer) kernel $K:S_{d-1} \times S_{d-1} \to \mathbb R$. F...

sobolev-spaces hilbert-spaces geometric-probability integral-operators kernels
 

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