Talk:Bochner's theorem

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Mid	This article has been rated as Mid-priority on the project's priority scale.

Statistics Mid‑importance

	This article is within the scope of WikiProject Statistics, a collaborative effort to improve the coverage of statistics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.StatisticsWikipedia:WikiProject StatisticsTemplate:WikiProject StatisticsStatistics articles
Mid	This article has been rated as Mid-importance on the importance scale.

Rearrangement[edit]

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[edit]

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[edit]

"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]