Talk:Hardy–Littlewood Tauberian theorem

tilde
The article needs to explain what the "tilde" sign means. Several different definitions are popular in the research literature, and there is no consensus. --79.207.126.200 (talk) 21:11, 19 August 2013 (UTC)


 * Is the issue that the tilde has multiple meanings in asymptotic analysis (news to me if so), or are you referring more broadly to the use of the symbol in mathematics? Sławomir Biały  (talk) 23:34, 19 August 2013 (UTC)

There is a problem in the formulation: the tauberian parts need further regularity properties for F, for example F should be eventually monotone. — Preceding unsigned comment added by 131.215.142.176 (talk) 21:45, 6 November 2014 (UTC)

The integral version makes little sense as written
It requires ρ≥0 and a bounded variation of F. But in the context of the theorem this implies ρ=0.

Obviously (as the footnote already suggests) one must use a more delicate version with a locally-bounded variation (plus suitable conditions of convergence at t→∞). --Ilya-zz (talk) 09:24, 11 February 2022 (UTC)

Requested move 13 April 2022

 * The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion. 

The result of the move request was: moved per request. Favonian (talk) 18:36, 20 April 2022 (UTC)

Hardy–Littlewood tauberian theorem → Hardy–Littlewood Tauberian theorem – Consistent with the naming of Abelian and Tauberian theorems, as well as the related Haar's Tauberian theorem and Littlewood's Tauberian theorem. Sources predominantly capitalise it this way too looking at Google Scholar. 1234qwer1234qwer4 19:00, 13 April 2022 (UTC) The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.
 * Support. "Tauberian" is generally capitalised in sources. Adumbrativus (talk) 03:32, 14 April 2022 (UTC)