edgepedia

Classical real analysis and measure theorists

32 articles

Abram Besicovitch

Abram Samoilovitch Besicovitch (1891–1970) was a Russian-born mathematician who spent most of his career at Cambridge, known for the Besicovitch covering theorem and Kakeya sets.

Alberto Tonelli

Alberto Tonelli (1850–1920) was an Italian mathematician who worked in analysis, number theory, and topology, holding the calculus chair at Palermo and then Rome, where he was long rector.

Anthony Morse

Anthony Perry Morse (1911–1984) was an American mathematician at the University of California, Berkeley, who worked in analysis and measure theory and created Morse–Kelley set theory.

Arnaud Denjoy

Arnaud Denjoy was a French mathematician known for the Denjoy integral, which reconstructs a function from any derivative, and for a foundational theorem on circle dynamics.

Beppo Levi

Beppo Levi (1875–1961) was an Italian mathematician whose 1906 monotone convergence theorem is a cornerstone of Lebesgue integration; expelled in 1938, he rebuilt mathematics in Rosario, Argentina.

Camillo De Lellis

Camillo De Lellis, born 1976 in Italy, is an Italian mathematician at the Institute for Advanced Study known for a new proof of Almgren's regularity theorem and work on the Euler equations.

Carl Johannes Thomae

Carl Johannes Thomae (1840–1921) was a German mathematician who taught at Halle, Freiburg, and Jena and is known for the Thomae function, Thomae's formula, and the Thomae θ-gamma function.

Cesare Arzelà

Cesare Arzelà (1847–1912) was an Italian mathematician and leading real analyst who taught at the University of Bologna and is known for the Ascoli-Arzelà theorem.

Charles Burkill

Charles Burkill, full name John Charles Burkill, was a British mathematician at Cambridge known for the Burkill integral and for serving as Master of Peterhouse from 1968 to 1973.

David Borwein

David Borwein (1924–2021) was a Canadian mathematician who specialized in summability theory, headed mathematics at the University of Western Ontario for 22 years, and led the Canadian Mathematical Society.

David Preiss

David Preiss (born 1947 in Czechoslovakia) is a Czech-born mathematician, Fellow of the Royal Society, known for his 1987 density theorem for rectifiable measures and work on Fréchet differentiability of Lipschitz functions.

Dmitri Egorov

Dmitri Egorov, also known as Dmitri Fyodorovich Egorov, was a Russian mathematician who proved Egorov's theorem in 1911 and co-founded the Moscow school of real analysis.

Ernest William Hobson

Ernest William Hobson (1856–1933) was a British mathematician who held the Sadleirian Professorship at Cambridge from 1910 to 1931 and, with W. H. Young, brought Borel–Lebesgue measure theory to English readers.

Georges Glaeser

Georges Glaeser (1918–2002) was a French mathematician and educator who worked in analysis, proving the Glaeser inequality and a 1963 theorem on composing differentiable functions, before directing the IREM of Strasbourg.

Gustave Choquet

Gustave Choquet (1915–2006) was a French mathematician who created capacity theory and the Choquet integral, and proved the integral representation theorem for compact convex sets, publishing more than 160 articles.

Henri Lebesgue

Henri Léon Lebesgue (1875–1941) was a French mathematician whose 1902 thesis founded measure theory; his integral generalizes the Riemann integral and underlies modern probability theory.

Jaroslav Kurzweil

Jaroslav Kurzweil, born in Prague in 1926, was a Czech mathematician whose 1957 Riemann-type definition of the gauge integral, the Kurzweil–Henstock integral, generalized the Lebesgue integral.

Johann Radon

Johann Radon (1887–1956) was an Austrian mathematician known for the Radon transform, which underlies computed tomography, and the Radon–Nikodym theorem, a cornerstone of measure theory and probability.

Jovan Karamata

Jovan Karamata (Јован Карамата; 1902–1967) was a Serbian mathematician, one of the greatest of 20th-century Serbia, who founded the theory of regularly varying functions and proved Littlewood's Tauberian theorem concisely.

Luigi Ambrosio

Luigi Ambrosio, born in Alba, Italy, in 1963, is an Italian mathematician at the Scuola Normale Superiore in Pisa, known for calculus of variations, geometric measure theory, and optimal transport.

Maurice Sion

Maurice Sion (1927–2018) was a mathematician at the University of British Columbia whose 1958 minimax theorem, generalizing von Neumann's, remains standard in game theory, optimization, and machine learning.

Miklós Laczkovich

Miklós Laczkovich (born 1948) is a Hungarian mathematician at Eötvös Loránd University and University College London, best known for his 1990 solution of Tarski's circle-squaring problem, open since 1925.

Otto M. Nikodym

Otto M. Nikodym (Otton Marcin Nikodym, 1887–1974) was a Polish mathematician known for the Radon–Nikodym theorem, the Nikodym set, and the Nikodym–Grothendieck boundedness theorem; he taught at Kenyon College in Ohio from 1948 to 1965.

Percy John Daniell

Percy John Daniell (1889–1946) was a British mathematician, Senior Wrangler at Cambridge in 1909, who created the Daniell integral and anticipated Kolmogorov's extension theorem by a decade.

Ralph Henstock

Ralph Henstock (1923–2007) was a British mathematician who independently created the Henstock–Kurzweil gauge integral and held the pure mathematics chair at the New University of Ulster.

Renato Caccioppoli

Renato Caccioppoli (1904–1959) was an Italian mathematician from Naples, a pioneer of the theory of sets of finite perimeter and namesake of the Caccioppoli inequality.

René-Louis Baire

René-Louis Baire (1874–1932) was a French mathematician at Dijon who introduced the Baire classes of discontinuous functions in his 1899 thesis and the category notions in letters to Émile Borel.

Sergey Bobkov

Sergey Bobkov (Сергей Германович Бобков, born 1961) is a mathematician and full professor at the University of Minnesota, best known for Bobkov's inequality, a functional isoperimetric inequality on Gaussian space.

Stanisław Saks

Stanisław Saks was a Polish mathematician of the Lwów–Warsaw school known for the Vitali–Hahn–Saks theorem, the Banach–Saks property, and his classic Theory of the Integral; he was murdered in 1942.

Ulisse Dini

Ulisse Dini (1845–1918) was an Italian mathematician and politician who taught at the University of Pisa for fifty-two years while serving as a deputy and senator.