Fourier inversion theorem

en

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Fourier inversion theorem

Quality:

Fourier inversion theorem - mathematical theorem on recovering a function from its Fourier transform. Article "Fourier inversion theorem" in English Wikipedia has 30.1 points for quality (as of July 1, 2025). The article contains 3 references and 16 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Fourier inversion theorem" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Fourier inversion theorem", its content was written by 44 registered users of English Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 73 times in English Wikipedia and cited 111 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #10462 in March 2004
  • Global: #33735 in March 2004

The highest popularity rank from 2008:

  • Local (English): #84656 in March 2015
  • Global: #156248 in March 2015

There are 9 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Fourier inversion theorem
30.0538
2Portuguese (pt)
Teorema da transformada inversa de Fourier
26.5602
3Spanish (es)
Teorema de la inversión de Fourier
25.0433
4Ukrainian (uk)
Обернена теорема Фур'є
22.7184
5French (fr)
Théorème d'inversion de Fourier
17.2351
6Italian (it)
Teorema di inversione di Fourier
9.1901
7Estonian (et)
Fourier' pöördteoreem
2.7767
8Persian (fa)
تبدیل وارون فوریه
2.1925
9Simple English (simple)
Fourier inversion theorem
0.3323
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Fourier inversion theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fourier inversion theorem
983 297
2Italian (it)
Teorema di inversione di Fourier
65 064
3Spanish (es)
Teorema de la inversión de Fourier
31 248
4French (fr)
Théorème d'inversion de Fourier
21 401
5Portuguese (pt)
Teorema da transformada inversa de Fourier
9 158
6Simple English (simple)
Fourier inversion theorem
1 526
7Ukrainian (uk)
Обернена теорема Фур'є
902
8Persian (fa)
تبدیل وارون فوریه
631
9Estonian (et)
Fourier' pöördteoreem
182
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Fourier inversion theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fourier inversion theorem
3 519
2French (fr)
Théorème d'inversion de Fourier
446
3Italian (it)
Teorema di inversione di Fourier
259
4Spanish (es)
Teorema de la inversión de Fourier
167
5Simple English (simple)
Fourier inversion theorem
83
6Portuguese (pt)
Teorema da transformada inversa de Fourier
60
7Ukrainian (uk)
Обернена теорема Фур'є
12
8Estonian (et)
Fourier' pöördteoreem
9
9Persian (fa)
تبدیل وارون فوریه
7
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Fourier inversion theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fourier inversion theorem
44
2French (fr)
Théorème d'inversion de Fourier
13
3Italian (it)
Teorema di inversione di Fourier
10
4Portuguese (pt)
Teorema da transformada inversa de Fourier
4
5Spanish (es)
Teorema de la inversión de Fourier
3
6Simple English (simple)
Fourier inversion theorem
3
7Estonian (et)
Fourier' pöördteoreem
1
8Persian (fa)
تبدیل وارون فوریه
1
9Ukrainian (uk)
Обернена теорема Фур'є
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Fourier inversion theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fourier inversion theorem
1
2Spanish (es)
Teorema de la inversión de Fourier
0
3Estonian (et)
Fourier' pöördteoreem
0
4Persian (fa)
تبدیل وارون فوریه
0
5French (fr)
Théorème d'inversion de Fourier
0
6Italian (it)
Teorema di inversione di Fourier
0
7Portuguese (pt)
Teorema da transformada inversa de Fourier
0
8Simple English (simple)
Fourier inversion theorem
0
9Ukrainian (uk)
Обернена теорема Фур'є
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Fourier inversion theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fourier inversion theorem
73
2Italian (it)
Teorema di inversione di Fourier
25
3Spanish (es)
Teorema de la inversión de Fourier
5
4French (fr)
Théorème d'inversion de Fourier
3
5Portuguese (pt)
Teorema da transformada inversa de Fourier
2
6Simple English (simple)
Fourier inversion theorem
2
7Estonian (et)
Fourier' pöördteoreem
1
8Persian (fa)
تبدیل وارون فوریه
0
9Ukrainian (uk)
Обернена теорема Фур'є
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Fourier inversion theorem
esSpanish
Teorema de la inversión de Fourier
etEstonian
Fourier' pöördteoreem
faPersian
تبدیل وارون فوریه
frFrench
Théorème d'inversion de Fourier
itItalian
Teorema di inversione di Fourier
ptPortuguese
Teorema da transformada inversa de Fourier
simpleSimple English
Fourier inversion theorem
ukUkrainian
Обернена теорема Фур'є

Popularity rank trends

Best Rank English:
#84656
03.2015
Global:
#156248
03.2015

AI rank trends

Best Rank English:
#10462
03.2004
Global:
#33735
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fourier inversion theorem from Wikipedia articles about Fourier transform, Dirac delta function, Inverse Laplace transform, Pontryagin duality and Cepstrum. Whereas reading the article about Fourier inversion theorem people most often go to Wikipedia articles on Fourier transform, Schwartz space, Rigged Hilbert space, Absolutely integrable function and Convergence of Fourier series.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information