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Mischa Cotlar
250px, Mischa Cotlar in 1964 Mischa Cotlar (1913, Sarny, Russian Empire – January 16, 2007, Buenos Aires, Argentina) was a mathematician who started his scientific career in Uruguay and worked most of his life on it in Argentina and Venezuela. His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and spectral theory. He introduced the Cotlar–Stein lemma. He was the author or co-author of over 80 articles in refereed journals. According to Alberto Calderón Alberto Pedro Calderón (September 14, 1920 – April 16, 1998) was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, t ..., Cotlar showed in 1955 "that theorems on singular integrals can be generalized and put in the framework of ergodic theory." According to Krause, Lacey, and Wierdl, Karl E. Petersen in 1983 published an "especially direct proof" of Cotlar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mischa Cotlar
250px, Mischa Cotlar in 1964 Mischa Cotlar (1913, Sarny, Russian Empire – January 16, 2007, Buenos Aires, Argentina) was a mathematician who started his scientific career in Uruguay and worked most of his life on it in Argentina and Venezuela. His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and spectral theory. He introduced the Cotlar–Stein lemma. He was the author or co-author of over 80 articles in refereed journals. According to Alberto Calderón Alberto Pedro Calderón (September 14, 1920 – April 16, 1998) was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, t ..., Cotlar showed in 1955 "that theorems on singular integrals can be generalized and put in the framework of ergodic theory." According to Krause, Lacey, and Wierdl, Karl E. Petersen in 1983 published an "especially direct proof" of Cotlar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cotlar–Stein Lemma
In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlar and Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from one Hilbert space into another when the operator can be decomposed into ''almost orthogonal'' pieces. The original version of this lemma (for self-adjoint and mutually commuting operators) was proved by Mischa Cotlar in 1955 and allowed him to conclude that the Hilbert transform is a continuous linear operator in L^2 without using the Fourier transform. A more general version was proved by Elias Stein. Cotlar–Stein almost orthogonality lemma Let E,\,F be two Hilbert spaces. Consider a family of operators T_j, j\geq 1, with each T_j a bounded linear operator from E to F. Denote : a_=\Vert T_j T_k^\ast\Vert, \qquad b_=\Vert T_j^\ast T_k\Vert. The family of operators T_j:\;E\to F, j\ge 1, is ''almost orthogonal'' if :A=\sup_\sum_\sqrt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1913 Births
Events January * January 5 – First Balkan War: Battle of Lemnos – Greek admiral Pavlos Kountouriotis forces the Turkish fleet to retreat to its base within the Dardanelles, from which it will not venture for the rest of the war. * January 13 – Edward Carson founds the (first) Ulster Volunteer Force, by unifying several existing loyalist militias to resist home rule for Ireland. * January 23 – 1913 Ottoman coup d'état: Ismail Enver comes to power. * January – Stalin (whose first article using this name is published this month) travels to Vienna to carry out research. Until he leaves on February 16 the city is home simultaneously to him, Hitler, Trotsky and Tito alongside Berg, Freud and Jung and Ludwig and Paul Wittgenstein. February * February 1 – New York City's Grand Central Terminal, having been rebuilt, reopens as the world's largest railroad station. * February 3 – The 16th Amendment to the United S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2007 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argentine Jews
The history of the Jews in Argentina goes back to the early sixteenth century, following the Jewish expulsion from Spain. Sephardi Jews fleeing persecution immigrated with explorers and colonists to settle in what is now Argentina, in spite of being forbidden from travelling to the American colonies. In addition, many of the Portuguese traders in the Viceroyalty of the Río de la Plata were Jewish. An organized Jewish community, however, did not develop until after Argentina gained independence from Spain in 1816. By mid-century, Jews from France and other parts of Western Europe, fleeing the social and economic disruptions of revolutions, began to settle in Argentina. Reflecting the composition of the later immigration waves, the current Jewish population is 80% Ashkenazi; while Sephardi and Mizrahi are a minority. Argentina has the largest Jewish population of any country in Latin America, although numerous Jews left during the 1970s and 1980s to escape the repression of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argentine Mathematicians
Argentines (mistakenly translated Argentineans in the past; in Spanish ( masculine) or ( feminine)) are people identified with the country of Argentina. This connection may be residential, legal, historical or cultural. For most Argentines, several (or all) of these connections exist and are collectively the source of their being ''Argentine''. Argentina is a multiethnic and multilingual society, home to people of various ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. As a result, Argentines do not equate their nationality with ethnicity, but with citizenship and allegiance to Argentina. Aside from the indigenous population, nearly all Argentines or their ancestors immigrated within the past five centuries. Among countries in the world that have received the most immigrants in modern history, Argentina, with 6.6 million, ranks second to the United States (27 million), and ahead of other imm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University Press
Cambridge University Press is the university press of the University of Cambridge. Granted letters patent by King Henry VIII in 1534, it is the oldest university press in the world. It is also the King's Printer. Cambridge University Press is a department of the University of Cambridge and is both an academic and educational publisher. It became part of Cambridge University Press & Assessment, following a merger with Cambridge Assessment in 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it publishes over 50,000 titles by authors from over 100 countries. Its publishing includes more than 380 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also publishes Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Notices Of The American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Since 2019, the editor-in-chief is Erica Flapan. The cover regularly features mathematical visualization Mathematical phenomena can be understood and explored via visualization. Classically this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century), while today it ...s. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Caracas
Caracas (, ), officially Santiago de León de Caracas, abbreviated as CCS, is the capital and largest city of Venezuela, and the center of the Metropolitan Region of Caracas (or Greater Caracas). Caracas is located along the Guaire River in the northern part of the country, within the Caracas Valley of the Venezuelan coastal mountain range (Cordillera de la Costa). The valley is close to the Caribbean Sea, separated from the coast by a steep 2,200-meter-high (7,200 ft) mountain range, Cerro El Ávila; to the south there are more hills and mountains. The Metropolitan Region of Caracas has an estimated population of almost 5 million inhabitants. The center of the city is still ''Catedral'', located near Bolívar Square, though some consider the center to be Plaza Venezuela, located in the Los Caobos area. Businesses in the city include service companies, banks, and malls. Caracas has a largely service-based economy, apart from some industrial activity in its metropolitan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alberto Calderón
Alberto Pedro Calderón (September 14, 1920 – April 16, 1998) was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the " Chicago School of (hard) Analysis" (sometimes simply known as the "Calderón-Zygmund School"). Calderón's work ranged over a wide variety of topics: from singular integral operators to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from ergodic theory to inverse problems in electrical prospection. Calderón's work has also had a powerful impact on practical applications including signal processing, geophysics, and tomography. Early life and education Alberto Pedro Calderón was born on September 14, 1920, in Mendoza, Argentina, to Don Pedro Calderón, a physician (urologist), and Haydée. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spectral Theory
In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result of studies of linear algebra and the solutions of systems of linear equations and their generalizations. The theory is connected to that of analytic functions because the spectral properties of an operator are related to analytic functions of the spectral parameter. Mathematical background The name ''spectral theory'' was introduced by David Hilbert in his original formulation of Hilbert space theory, which was cast in terms of quadratic forms in infinitely many variables. The original spectral theorem was therefore conceived as a version of the theorem on principal axes of an ellipsoid, in an infinite-dimensional setting. The later discovery in quantum mechanics that spectral theory could explain features of atomic spectra was ther ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sarny
Sarny ( uk, Сáрни), translated as '' Does'', is a small city in Rivne Oblast (province) of western Ukraine. It is the administrative center of Sarny Raion (district), and is a major railway node on the Sluch River. Population: History History to 1939 Sarny at its outset was a small village on the Polesia-Wolhyn border, located between forests and swamps. Its name is derived from the word "serna", referring to the wild goats that roamed freely in the area at the time.UncreditedWildlife, Legends and History make Sarny a Memorable Destination Ukraine Channel. Retrieved 2016-08-09. Sarny was a part of the Kingdom of Halych-Volhynia. It was later annexed by the Grand Duchy of Lithuania, followed by the Polish–Lithuanian Commonwealth. From 1795 it was considered a part of the Russian Empire, as part of the Volhynian Governorate. It later became part of the estate of General Felix Dzerzhinsky. The railway reached Sarny in 1885, which was the same year that Sarny was formally ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
