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Oct 14, 2020 at 17:54 comment added Uzu Lim I was being imprecise, but I think it's certainly injective for measures induced by continuous probability density functions.
Oct 14, 2020 at 17:53 history edited Uzu Lim CC BY-SA 4.0
added 16 characters in body
Oct 14, 2020 at 16:19 comment added Yemon Choi When you say that the map $\Phi:\mu \mapsto K_\mu({\bf 1})$ is injective, what's the precise domain of $\Phi$? Are you allowing all Borel probability measures on $X={\mathbb R}^n$?
Oct 14, 2020 at 10:31 history edited Vidit Nanda CC BY-SA 4.0
Added link to Hilbert-Schmidt operator
Oct 13, 2020 at 12:07 history edited YCor CC BY-SA 4.0
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Oct 13, 2020 at 11:25 history asked Uzu Lim CC BY-SA 4.0