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Egorov's theorem

Index 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. [1]

13 relations: Carlo Severini, Dmitri Egorov, List of people from Central Italy, List of Russian mathematicians, List of Russian people, List of Russian scientists, List of theorems, Littlewood's three principles of real analysis, Lusin's theorem, Pavel Korovkin, Pointwise convergence, Uniform convergence, Vitali convergence theorem.

Carlo Severini

Carlo Severini (10 March 1872 – 11 May 1951) was an Italian mathematician: he was born in Arcevia (Province of Ancona) and died in Pesaro.

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Dmitri Egorov

Dmitri Fyodorovich Egorov (Дми́трий Фёдорович Его́ров; December 22, 1869 – September 10, 1931) was a Russian and Soviet mathematician known for significant contributions to the areas of differential geometry and mathematical analysis.

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List of people from Central Italy

This is a list of notable central Italians.

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List of Russian mathematicians

This list of Russian mathematicians includes the famous mathematicians from the Russian Empire, the Soviet Union and the Russian Federation.

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List of Russian people

This is a list of people associated with the modern Russian Federation, the Soviet Union, Imperial Russia, Russian Tsardom, the Grand Duchy of Moscow, and other predecessor states of Russia.

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List of Russian scientists

Alona Soschen.

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List of theorems

This is a list of theorems, by Wikipedia page.

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Littlewood's three principles of real analysis

Littlewood's three principles of real analysis are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis.

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Lusin's theorem

In the mathematical field of real analysis, Lusin's theorem (or Luzin's theorem, named for Nikolai Luzin) states that every measurable function is a continuous function on nearly all its domain.

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Pavel Korovkin

Pavel Petrovich Korovkin (Павел Петрович Коровкин) (the family name is also transliterated as Korowkin in German sources), (9 July 1913 – 11 August 1985) was a Soviet mathematician whose main fields of research were orthogonal polynomials, approximation theory and potential theory.

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Pointwise convergence

In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.

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Uniform convergence

In the mathematical field of analysis, uniform convergence is a type of convergence of functions stronger than pointwise convergence.

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Vitali convergence theorem

In real analysis and measure theory, the Vitali convergence theorem, named after the Italian mathematician Giuseppe Vitali, is a generalization of the better-known dominated convergence theorem of Henri Lebesgue.

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Redirects here:

Egoroff theorem, Egoroff's Theorem, Egoroff's theorem, Egorov theorem, Egorov's Theorem, Severini-Egoroff theorem, Severini-Egorov theorem.

References

[1] https://en.wikipedia.org/wiki/Egorov's_theorem

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