In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable...

Henri Lebesgue in mathematical analysis. A theorem in real analysis and integration theory, Egorov's Theorem, is named after him. Egoroff, D. Th. (1911)...

independently from Dmitri Fyodorovich Egorov, proved and published earlier a proof of the theorem now known as Egorov's theorem. He graduated in Mathematics from...

Disintegration theorem (measure theory) Dominated convergence theorem (Lebesgue integration) Egorov's theorem (measure theory) Fatou–Lebesgue theorem (real analysis)...

The proof of Lusin's theorem can be found in many classical books. Intuitively, one expects it as a consequence of Egorov's theorem and density of smooth...

measurable sets, the second is based on Lusin's theorem, and the third is based on Egorov's theorem. Littlewood's three principles are quoted in several...

that is, on a subset of the domain whose complement has measure zero. Egorov's theorem states that pointwise convergence almost everywhere on a set of finite...

uniformly almost everywhere as might be inferred from the name. However, Egorov's theorem does guarantee that on a finite measure space, a sequence of functions...

Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...

Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...

theory and potential theory. In 1947 he proved a generalization of Egorov's theorem: from the early 1950s on, his research interests turned to functional...

Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...

Severini, independently from Dmitri Egorov, proved and published earlier the theorem now known as Egorov's theorem. Francesco Severi (1879–1961), one of...

(2000), no. 1, 64–82. JSTOR 2589382 Denjoy–Luzin theorem Denjoy–Luzin–Saks theorem Lusin's theorem Luzin space Ford, Charles E. (1998-08-01). "The Influence...

question of the first mathematically strict treatment of the Central Limit Theorem, the discussion and debate with Nekrasov played a significant role (especially...

contributions in dimension theory, and for developing Urysohn's metrization theorem and Urysohn's lemma, both of which are fundamental results in topology...

particular, he proved the first general metrization theorem and the famous compactification theorem of any locally compact Hausdorff space by adding a...

criterion for planar dynamical systems Kuratowski's theorem, also called the Pontryagin–Kuratowski theorem, on planar graphs Pontryagin class Pontryagin duality...

Riker, Adam Przeworski, Richard Posner. According to the median voter theorem governments will tend to produce laws and policies close to the views of...

Eugene Onegin, written by Alexander Pushkin, and proved a central limit theorem for such chains. In 1912 Henri Poincaré studied Markov chains on finite...

included: Соболев, С. (1938), Об одной теореме функционального анализа [On a theorem of functional analysis], Mat. Sb. (in Russian), 4: 471–497. Translated...

graduated from Moscow State University (MSU) in 1913 studying under Dmitri Egorov and Nikolai Luzin. He obtained his master's degree from MSU in 1916 and...

Rham cohomology. They can be used to formulate a very general Stokes' theorem. Beppo-Levi space Dirac delta function Generalized eigenfunction Distribution...

geometry Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry Hippocrates of...

the theory he introduced, together with Lev Schnirelmann, he proved the theorem of the three geodesics, a conjecture by Henri Poincaré that every convex...

motion may be expressed as a screw displacement according to Chasles' theorem. When the underlying space is a Riemannian manifold, the group of motions...

Consultants Bureau 1987 (trans. from the Russian by V. M. Volosov) "A theorem on an integral inequality and some of its applications" by V. M. Alekseev...

students and taught at Lomonosov University. Israel Gelfand and Raikov's 1943 theorem states that a locally compact group G {\displaystyle G} is completely determined...

the planet has a horizontal velocity of v, and by using the Pythagorean Theorem, the spaceship initially has a total velocity of √2v. After the spaceship...

Bolzano–Weierstrass theorem. He also gave the first purely analytic proofs of the fundamental theorem of algebra and the intermediate value theorem. Adam Sedgwick...