Paley–Wiener theorem

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Paley–Wiener theorem

Quality:

Paley–Wiener theorem - any of a family of theorems relating decay properties of a function or distribution at infinity with analyticity of its Fourier transform. Article "Paley–Wiener theorem" in English Wikipedia has 15.7 points for quality (as of July 1, 2025). The article contains 6 references and 4 sections.

This article has the best quality in Portuguese Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Paley–Wiener theorem", its content was written by 34 registered users of English Wikipedia and edited by 100 registered Wikipedia users in all languages.

The article is cited 40 times in English Wikipedia and cited 75 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #17854 in May 2004
  • Global: #43380 in May 2004

The highest popularity rank from 2008:

  • Local (English): #446859 in November 2017
  • Global: #664676 in November 2014

There are 7 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
1Portuguese (pt)
Condição de Paley-Wiener
24.6657
2English (en)
Paley–Wiener theorem
15.7232
3German (de)
Satz von Paley-Wiener
13.519
4French (fr)
Théorème de Paley-Wiener
12.6803
5Spanish (es)
Teorema de Paley–Wiener
12.2726
6Italian (it)
Teorema di Paley-Wiener
9.6341
7Russian (ru)
Теорема Пэли — Винера
4.6105
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 "Paley–Wiener theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Paley–Wiener theorem
269 835
2Russian (ru)
Теорема Пэли — Винера
17 953
3French (fr)
Théorème de Paley-Wiener
17 706
4German (de)
Satz von Paley-Wiener
14 107
5Italian (it)
Teorema di Paley-Wiener
12 116
6Spanish (es)
Teorema de Paley–Wiener
4 449
7Portuguese (pt)
Condição de Paley-Wiener
2 184
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 "Paley–Wiener theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Paley–Wiener theorem
1 721
2French (fr)
Théorème de Paley-Wiener
97
3German (de)
Satz von Paley-Wiener
73
4Russian (ru)
Теорема Пэли — Винера
64
5Spanish (es)
Teorema de Paley–Wiener
63
6Italian (it)
Teorema di Paley-Wiener
58
7Portuguese (pt)
Condição de Paley-Wiener
14
More...

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

The highest AI

Language versions of the article "Paley–Wiener theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Paley–Wiener theorem
34
2Russian (ru)
Теорема Пэли — Винера
18
3Italian (it)
Teorema di Paley-Wiener
15
4French (fr)
Théorème de Paley-Wiener
14
5German (de)
Satz von Paley-Wiener
13
6Spanish (es)
Teorema de Paley–Wiener
3
7Portuguese (pt)
Condição de Paley-Wiener
3
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 "Paley–Wiener theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Paley-Wiener
0
2English (en)
Paley–Wiener theorem
0
3Spanish (es)
Teorema de Paley–Wiener
0
4French (fr)
Théorème de Paley-Wiener
0
5Italian (it)
Teorema di Paley-Wiener
0
6Portuguese (pt)
Condição de Paley-Wiener
0
7Russian (ru)
Теорема Пэли — Винера
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 "Paley–Wiener theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Paley–Wiener theorem
40
2German (de)
Satz von Paley-Wiener
10
3French (fr)
Théorème de Paley-Wiener
9
4Spanish (es)
Teorema de Paley–Wiener
5
5Portuguese (pt)
Condição de Paley-Wiener
5
6Italian (it)
Teorema di Paley-Wiener
4
7Russian (ru)
Теорема Пэли — Винера
2
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
deGerman
Satz von Paley-Wiener
enEnglish
Paley–Wiener theorem
esSpanish
Teorema de Paley–Wiener
frFrench
Théorème de Paley-Wiener
itItalian
Teorema di Paley-Wiener
ptPortuguese
Condição de Paley-Wiener
ruRussian
Теорема Пэли — Винера

Popularity rank trends

Best Rank English:
#446859
11.2017
Global:
#664676
11.2014

AI rank trends

Best Rank English:
#17854
05.2004
Global:
#43380
05.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Paley–Wiener theorem from Wikipedia articles about Harmonic analysis, Jensens formula, Laplace transform, Analytic function and Wieners theorem. Whereas reading the article about Paley–Wiener theorem people most often go to Wikipedia articles on Raymond Paley, Hardy space, Norbert Wiener, Jensens formula and Riesz sequence.

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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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