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Jun 17, 2016 at 19:43 comment added Alexander Shamov It's not hard to check that this kernel is the reproducing kernel of the space of functions on $\{1,\dots,n\}$, such that $\sum_x f(x) = 0$, with the standard inner product $\langle f,g \rangle = \operatorname{const} \cdot \sum_x f(x) g(x)$, so it's certainly of positive type. I don't claim any credit, feel free to use it wherever you like.
Jun 17, 2016 at 19:26 comment added 3Matrolod And are you sure that $K$ is a positive type function?
Jun 17, 2016 at 19:03 comment added 3Matrolod Thanks, that helps me very much! Can I cite your counterexample in my thesis? Further is there any practical use for this kernel?
Jun 17, 2016 at 19:02 vote accept 3Matrolod
Jun 17, 2016 at 16:48 history edited Alexander Shamov CC BY-SA 3.0
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Jun 17, 2016 at 16:43 history answered Alexander Shamov CC BY-SA 3.0