Mehler kernel: Revision history

12 April 2024

• curprev 13:2713:27, 12 April 2024‎ Rdzhang talk contribs‎ m 15,140 bytes 0‎ Correcting my last edit: both signs should be flipped. undo
• curprev 13:2613:26, 12 April 2024‎ Rdzhang talk contribs‎ m 15,140 bytes +1‎ The sign of the eigenvalue is incorrect, which can be verified using the differential operator D_x. undo

3 December 2023

• curprev 13:0813:08, 3 December 2023‎ OAbot talk contribs‎ m 15,139 bytes −4‎ Open access bot: doi updated in citation with #oabot. undo

19 June 2023

• curprev 09:4109:41, 19 June 2023‎ Citation bot talk contribs‎ 15,143 bytes +94‎ Add: arxiv, page, s2cid, bibcode, doi. Removed proxy/dead URL that duplicated identifier. | Use this bot. Report bugs. | Suggested by Headbomb | Linked from Wikipedia:WikiProject_Academic_Journals/Journals_cited_by_Wikipedia/Sandbox | #UCB_webform_linked 169/296 undo

30 January 2023

• curprev 08:3208:32, 30 January 2023‎ OAbot talk contribs‎ m 15,049 bytes +18‎ Open access bot: doi added to citation with #oabot. undo

19 January 2023

• curprev 17:4117:41, 19 January 2023‎ 217.87.120.142 talk‎ 15,031 bytes +9‎ →‎Physics version: corrected Maslov phase formula because obviously wrong: t1-t1 would be zero: the formula in the cited paper by Horvathy is t2-t1, which is here t since t2=t and t1=0 undo

20 December 2022

• curprev 18:0818:08, 20 December 2022‎ Trodemaster talk contribs‎ 15,022 bytes +49‎ →‎Physics version undo
• curprev 17:2617:26, 20 December 2022‎ Trodemaster talk contribs‎ 14,973 bytes +15‎ →‎Physics version undo
• curprev 17:2217:22, 20 December 2022‎ Trodemaster talk contribs‎ 14,958 bytes +2‎ →‎Physics version undo
• curprev 17:2117:21, 20 December 2022‎ Trodemaster talk contribs‎ 14,956 bytes +3‎ →‎Physics version undo
• curprev 17:1917:19, 20 December 2022‎ Trodemaster talk contribs‎ 14,953 bytes +106‎ →‎Physics version undo
• curprev 17:0917:09, 20 December 2022‎ Trodemaster talk contribs‎ 14,847 bytes +498‎ →‎Physics version undo

19 December 2022

• curprev 17:4317:43, 19 December 2022‎ Hellacioussatyr talk contribs‎ 14,349 bytes +67‎ →‎Probability version undo Tags: Mobile edit Mobile web edit Advanced mobile edit
• curprev 16:5016:50, 19 December 2022‎ Hellacioussatyr talk contribs‎ 14,282 bytes +60‎ →‎Physics version undo Tags: Mobile edit Mobile web edit Advanced mobile edit

23 November 2022

• curprev 18:1118:11, 23 November 2022‎ 145.64.254.247 talk‎ 14,222 bytes +314‎ →‎Physics version: clarifying the active nature of the Fourier transform by the Mehler kernel undo

19 November 2022

• curprev 09:1209:12, 19 November 2022‎ WikiCleanerBot talk contribs‎ m 13,908 bytes −31‎ v2.05b - Bot T20 CW#61 - Fix errors for CW project (Reference before punctuation - Title linked in text - Link equal to linktext) undo Tag: WPCleaner

17 November 2022

• curprev 19:3719:37, 17 November 2022‎ 217.87.116.53 talk‎ 13,939 bytes +45‎ Added link to Fourier transform Eigenfunction undo
• curprev 08:1308:13, 17 November 2022‎ 217.87.116.53 talk‎ 13,894 bytes +4‎ References corrected undo
• curprev 07:5007:50, 17 November 2022‎ 217.87.116.53 talk‎ 13,890 bytes +496‎ Added clarifications and a reference to the Mehler kernels Hermite functions being also eigenfunctions of the unitary Fourier operator undo

16 November 2022

• curprev 21:0921:09, 16 November 2022‎ 217.87.117.249 talk‎ 13,394 bytes +723‎ Added that the number operator is the exact generator of the Fourier transform, and the exact reference for these additions (section 7.5.10 of https://www.fis.unam.mx/~bwolf/integraleng.html i.e. https://doi.org/10.1007/978-1-4757-0872-1) undo
• curprev 20:2920:29, 16 November 2022‎ 217.87.117.249 talk‎ 12,671 bytes +1,697‎ Added in the Physics version section a remark w.r.t. the usual physics conventions and that the Mehler kernel in either convention directly gives the standard Fourier transform (for t=pi/2 facilitating the understanding of, and link to, the section fractional Fourier transform, or t=i pi/4 for the conventions initially used in the Physics Version section). Provided also citations to this. undo

23 October 2022

• curprev 11:5411:54, 23 October 2022‎ Citation bot talk contribs‎ 10,974 bytes +78‎ Add: s2cid, bibcode, issue, authors 1-1. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | Suggested by Whoop whoop pull up | #UCB_webform 1891/3485 undo

19 January 2022

• curprev 02:1702:17, 19 January 2022‎ 2001:18e8:3:1087:f000::3fe talk‎ 10,896 bytes +8‎ →‎See also: minor edit: template:slink undo

7 January 2022

• curprev 05:5105:51, 7 January 2022‎ Jan Louw talk contribs‎ m 10,888 bytes +11‎ →‎Physics version undo

5 October 2021

• curprev 04:3004:30, 5 October 2021‎ MMmpds talk contribs‎ m 10,877 bytes +8‎ The link for the Hardy-Hille formula did not take the reader to the section in the article on Laguerre polynomials specifically entitled "Hardy-Hille formula" because the hyphenated punctuation "-" conflicted with source code interpretation therefore symbol "%E2%80%93" was used in lieu. undo

6 July 2021

• curprev 19:2219:22, 6 July 2021‎ OAbot talk contribs‎ m 10,869 bytes +17‎ Open access bot: doi added to citation with #oabot. undo

28 April 2021

• curprev 21:4721:47, 28 April 2021‎ Bender the Bot talk contribs‎ m 10,852 bytes +1‎ →‎References: HTTP → HTTPS for the American Mathematical Society, replaced: [http://www.ams.org/ → [https://www.ams.org/ undo Tag: AWB

13 May 2020

• curprev 21:0121:01, 13 May 2020‎ Mr.gondolier talk contribs‎ m 10,851 bytes +23‎ →‎Probability version undo

11 March 2020

• curprev 14:4714:47, 11 March 2020‎ Citation bot talk contribs‎ m 10,828 bytes +19‎ Add: issue. | You can use this bot yourself. Report bugs here. | Activated by User:AManWithNoPlan | All pages linked from User:AManWithNoPlan/sandbox2. undo

14 August 2019

• curprev 14:1814:18, 14 August 2019‎ R.o.t talk contribs‎ m 10,809 bytes +4‎ – undo

5 April 2019

• curprev 00:2300:23, 5 April 2019‎ Zatrp talk contribs‎ 10,805 bytes +125‎ added intro section undo

1 July 2018

• curprev 21:5921:59, 1 July 2018‎ A. Pichler talk contribs‎ m 10,680 bytes +46‎ →‎See also undo

4 May 2018

• curprev 18:0618:06, 4 May 2018‎ JCW-CleanerBot talk contribs‎ m 10,634 bytes −4‎ task, replaced: Journal für Reine und Angewandte Mathematik → Journal für die Reine und Angewandte Mathematik using AWB undo

6 March 2018

• curprev 19:1719:17, 6 March 2018‎ Deacon Vorbis talk contribs‎ 10,638 bytes −45‎ →‎Physics version: not worth trying to typeset that with templates undo
• curprev 19:1419:14, 6 March 2018‎ Deacon Vorbis talk contribs‎ m 10,683 bytes +18‎ √ glyph -> {{radic}} using AWB undo

4 September 2017

• curprev 19:5919:59, 4 September 2017‎ KolbertBot talk contribs‎ m 10,665 bytes +1‎ Bot: HTTP→HTTPS undo

4 August 2017

• curprev 20:5620:56, 4 August 2017‎ Headbomb talk contribs‎ 10,664 bytes +8‎ ERAM undo

24 June 2017

• curprev 03:5103:51, 24 June 2017‎ PrimeBOT talk contribs‎ m 10,656 bytes +8‎ Replace magic links with templates per local RfC - BRFA undo

3 December 2016

• curprev 09:5009:50, 3 December 2016‎ Yobot talk contribs‎ m 10,648 bytes −1‎ →‎References: ISBN sytax fixes, replaced: ISBN 3 → ISBN 3 using AWB undo

15 June 2016

• curprev 17:3017:30, 15 June 2016‎ Headbomb talk contribs‎ m 10,649 bytes 0‎ clean up, replaced: Proc. Nat. Acad → Proc. Natl. Acad using AWB undo

29 August 2015

• curprev 14:3914:39, 29 August 2015‎ Dexbot talk contribs‎ m 10,649 bytes +399‎ Bot: Deprecating Template:Cite doi and some minor fixes undo

2 August 2015

• curprev 22:2222:22, 2 August 2015‎ Hampton11235 talk contribs‎ m 10,250 bytes 0‎ →‎Also see: Typo fix undo Tag: Visual edit

26 May 2015

• curprev 02:5702:57, 26 May 2015‎ 24.60.171.59 talk‎ 10,250 bytes 0‎ →‎Probability version undo

23 January 2015

• curprev 15:3915:39, 23 January 2015‎ Cuzkatzimhut talk contribs‎ 10,250 bytes +5‎ →‎Physics version: to address sign inconsistency detected by reverted Hessian IP undo
• curprev 01:3701:37, 23 January 2015‎ Cuzkatzimhut talk contribs‎ 10,245 bytes −1‎ Reverted 1 edit by 130.83.24.40 (talk). (TW) undo

22 January 2015

• curprev 14:4714:47, 22 January 2015‎ 130.83.24.40 talk‎ 10,246 bytes +1‎ →‎Physics version undo

24 November 2014

• curprev 23:3423:34, 24 November 2014‎ Cuzkatzimhut talk contribs‎ 10,245 bytes +51‎ added Category:Multivariate continuous distributions using HotCat undo
• curprev 23:3323:33, 24 November 2014‎ Cuzkatzimhut talk contribs‎ 10,194 bytes 0‎ removed Category:Mathematical Physics using HotCat undo
• curprev 23:3123:31, 24 November 2014‎ Cuzkatzimhut talk contribs‎ 10,194 bytes +34‎ added Category:Mathematical Physics using HotCat undo
• curprev 20:0920:09, 24 November 2014‎ JFB80 talk contribs‎ 10,160 bytes +24‎ →‎Probability version: Kibble discussed the multidimensional Mehler formula too undo