Egorov's theorem
In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions. It is also named Severini–Egoroff theorem or Severini–Egorov theorem, after Carlo Severini, an Italian mathematician, and Dmitri Egorov, a Russian physicist and geometer, who published independent proofs respectively in 1910 and 1911. Egorov's theorem can be used along with compactly supported continuous functions to prove Lusin's theorem for integrable functions.
primaryTopic
Egorov's theorem
In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions. It is also named Severini–Egoroff theorem or Severini–Egorov theorem, after Carlo Severini, an Italian mathematician, and Dmitri Egorov, a Russian physicist and geometer, who published independent proofs respectively in 1910 and 1911. Egorov's theorem can be used along with compactly supported continuous functions to prove Lusin's theorem for integrable functions.
has abstract
Der Satz von Jegorow ist ein S ...... rwandte Schreibweisen) findet.
@de
Em matemática, o teorema de Eg ...... em um espaço de medida finita.
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In measure theory, an area of ...... orem for integrable functions.
@en
In teoria della misura, il teo ...... spettivamente nel 1910 e 1911.
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Le théorème d’Egoroff, nommé a ...... éorème de convergence dominée.
@fr
Twierdzenie Jegorowa – twierdz ...... od nazwiska Dimitria Jegorowa.
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Теоре́ма Его́рова утверждает, ...... очно большом его подмножестве.
@ru
在测度论中,叶戈罗夫定理确立了一个可测函数的逐点收敛序列一致 ...... 定理与紧支撑连续函数在一起,可以用来证明可积函数的卢津定理。
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Wikipage revision ID
740,795,376
accessdate
2005-04-19
author
Humpreys, Alexis
author-link
Lev Kudryavtsev
Wacław Sierpiński
first
id
last
title
Egorov theorem
Egorov's theorem
urlname
EgorovsTheorem
comment
Der Satz von Jegorow ist ein S ...... rwandte Schreibweisen) findet.
@de
Em matemática, o teorema de Eg ...... em um espaço de medida finita.
@pt
In measure theory, an area of ...... orem for integrable functions.
@en
In teoria della misura, il teo ...... spettivamente nel 1910 e 1911.
@it
Le théorème d’Egoroff, nommé a ...... éorème de convergence dominée.
@fr
Twierdzenie Jegorowa – twierdz ...... od nazwiska Dimitria Jegorowa.
@pl
Теоре́ма Его́рова утверждает, ...... очно большом его подмножестве.
@ru
在测度论中,叶戈罗夫定理确立了一个可测函数的逐点收敛序列一致 ...... 定理与紧支撑连续函数在一起,可以用来证明可积函数的卢津定理。
@zh
label
Egorov's theorem
@en
Satz von Jegorow
@de
Teorema de Egorov
@pt
Teorema di Egorov
@it
Théorème d'Egoroff
@fr
Twierdzenie Jegorowa
@pl
Теорема Егорова
@ru
叶戈罗夫定理
@zh