Talk:Bochner's theorem

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Statistics Mid‑importance

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Rearrangement

Since the article already states the general groups case, I suggest content be reordered by covering the general case first (some details should be fleshed out here), then the case for Z and R (the proof for the real line in current version will be subsumed by the general discussion and can be removed), then the theorem in the context of stochastic processes with the Z case corresponding to discrete time and R case continuous time. Mct mht (talk) 09:49, 11 August 2012 (UTC)[reply]

I think the special case of R should be moved to the lede. As with many math articles on Wikipedia, the lede currently describes the subject in the most general possible form. This is good for mathematicians, but terrible for us physicists (and everyone else) because it camouflages the concept by placing it in a more general and unfamiliar context. 98.14.192.201 (talk) 14:06, 3 June 2014 (UTC)[reply]

Herglotz theorem

I believe "Herglotz theorem" referred to in some statistics texts is exactly the same theorem covered in article. Article text currently links to Herglotz representation theorem on positive harmonic functions. It is only related in the sense that it concerns positive definite functions on the semigroup N, vice Z. Mct mht (talk) 06:39, 13 January 2013 (UTC)[reply]

Mistake in the proof

"Finite support" must be replaced by "compact support", and consequently the clarification following that. — Preceding unsigned comment added by Sergio Yuhjtman (talk • contribs) 22:22, 24 June 2016 (UTC)[reply]