edgepedia

Analysts and PDE researchers

369 articles

John Robert Ringrose

John Robert Ringrose, born 1932 in London, is an English mathematician who initiated the theory of nest algebras, co-wrote a four-volume operator algebras textbook with Kadison, and held Newcastle's Pure Mathematics chair from 1964 to 1993.

John Toland

John Francis Toland is a Northern Irish mathematician in nonlinear analysis who proved Stokes' conjecture on waves of greatest height in 1978 and led the Isaac Newton Institute.

Joram Lindenstrauss

Joram Lindenstrauss (1936–2012) was an Israeli mathematician at the Hebrew University of Jerusalem who co-created the Johnson–Lindenstrauss lemma on dimension reduction and, with Lior Tzafriri, solved the complemented subspace problem in Banach space theory.

Joseph J. Kohn

Joseph J. Kohn (1932–2023) was a Czech-born American mathematician and Princeton professor who solved the ∂̄-Neumann problem in 1962 and co-created the Kohn–Nirenberg pseudodifferential calculus.

Joseph L. Taylor

Joseph L. Taylor (Joseph Lawrence Taylor, 1941–2016) was an American mathematician at the University of Utah known for work on Banach algebras and noncommutative harmonic analysis.

Joseph Leonard Walsh

Joseph Leonard Walsh (1895–1973) was an American mathematician at Harvard known for the Walsh functions, later central to digital signal processing, and for approximation theory.

Joseph Pérès

Joseph Pérès (1890–1962) was a French mathematician and mechanician, professor of mechanics at Marseille and Paris and dean of the Faculty of Science of Paris.

Josip Plemelj

Josip Plemelj (1873–1967) was a Slovenian mathematician known for the Sokhotski–Plemelj formulas, his 1908 solution of the Riemann problem, and serving as the first rector of the University of Ljubljana.

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.

Józef Marcinkiewicz

Józef Marcinkiewicz was a Polish mathematician who published 55 papers on analysis and probability before being killed as a reserve officer in the 1940 Katyń massacre.

Julian Sochocki

Julian Sochocki, also romanised Yulian Vasilievich Sokhotskii, was a Polish-born mathematician who spent his career in Saint Petersburg, proved the Sokhotski–Plemelj formulas in 1873, and belonged to Chebyshev's school.

Julius Wolff (Dutch mathematician)

Julius Wolff was a Dutch mathematician and professor at Groningen and Utrecht, known for the Denjoy–Wolff theorem; dismissed in 1940, he died in Bergen-Belsen in 1945.

Juliusz Schauder

Juliusz Schauder, also known as Juliusz Paweł Schauder, was a Polish mathematician of the Lwów school, born in 1899 in Lemberg, known for the Schauder fixed point theorem.

Jürgen Moser

Jürgen Moser (1928–1999) was a mathematician born in Königsberg, East Prussia, who worked in dynamical systems, celestial mechanics, and partial differential equations, and is best known for the Kolmogorov–Arnold–Moser theory of stability in Hamiltonian systems.

Karl Heun

Karl Heun (1859–1929) was a German mathematician who introduced Heun's equation, a second-order differential equation generalizing the hypergeometric equation, and Heun's 1900 method, an early step in the Runge–Kutta lineage.

Karl Stein (mathematician)

Karl Stein (1913–2000) was a German mathematician, professor at Munich from 1955, whose 1951 definition of Stein manifolds became a foundational object of complex geometry.

Karl Weierstraß

Karl Weierstraß (Karl Theodor Wilhelm Weierstrass) was a German mathematician, born in Ostenfelde in 1815 and working in Berlin, who rebuilt analysis on arithmetical foundations and constructed the theory of complex functions.

Kelsey Houston-Edwards

Kelsey Houston-Edwards is an American mathematician and science communicator who wrote and hosted PBS's Infinite Series, earned a 2018 Cornell PhD in probability, and writes for Quanta Magazine.

Kiyoshi Oka

Kiyoshi Oka (岡 潔; 1901–1978) was a Japanese mathematician who solved major problems in complex analysis between 1936 and 1953, including the Levi problem and the coherence of the structure sheaf.

Kurt Otto Friedrichs

Kurt Otto Friedrichs (1901–1982) was a German-American applied mathematician who joined Richard Courant at NYU in 1937 and shaped the modern theory of partial differential equations.

Ky Fan

Ky Fan (樊畿, 1914–2010) was a Chinese-American mathematician at UC Santa Barbara known for the Ky Fan inequalities, Ky Fan norms, and the 1972 minimax inequality.

Larry Guth

Larry Guth is an American mathematician and Claude E. Shannon Professor at MIT whose work spans metric geometry, harmonic analysis, and combinatorics, including the Kakeya and Erdős distinct distances problems.

Lars Ahlfors

Lars Ahlfors was a Finnish mathematician who worked in complex analysis and Riemann surfaces, won one of the first two Fields Medals in 1936, and taught at Harvard from 1946 to 1977.

Lars Edvard Phragmén

Lars Edvard Phragmén (1863–1937) was a Swedish mathematician known for the Phragmén–Lindelöf principle in complex analysis and a load-balancing proportional election method still part of Swedish law.

Lars Gårding

Lars Gårding (1919–2014) was a Swedish mathematician and professor at the University of Lund from 1952 to 1984, known for Gårding's inequality and for advising Lars Hörmander.

Lars Hörmander

Lars Hörmander (1931–2012) was a Swedish mathematician at Lund University, the leading figure in the theory of linear partial differential equations and winner of the 1962 Fields Medal.

Laure Saint-Raymond

Laure Saint-Raymond (born 1975) is a French mathematician known for proving hydrodynamic limits of the Boltzmann equation, work answering part of Hilbert's sixth problem; she holds a chair at the Collège de France.

Laurent Schwartz

Laurent Schwartz (1915–2002) was a French mathematician who created the theory of distributions, rigorously generalizing functions, and in 1950 became the first French Fields Medalist.

Lawrence C. Evans

Lawrence C. Evans, born 1949, is an American mathematician at UC Berkeley known for nonlinear partial differential equations and his graduate textbook Partial Differential Equations.

Lazarus Fuchs

Lazarus Immanuel Fuchs (1833–1902) was a German mathematician, a pupil of Weierstrass, who characterized the Fuchsian class of linear differential equations; Poincaré named Fuchsian functions in his honor.