Jean Frédéric Auguste Delsarte
Jean Frédéric Auguste Delsarte (19 October 1903, in Fourmies – 28 November 1968, in Nancy) was a French mathematician known for his work in mathematical analysis, in particular, for introducing mean-periodic functions and generalised shift operators. He was one of the founders of the Bourbaki group. He was an invited speaker at the International Congress of Mathematicians in 1932 at Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The .... Selected publications * * Application de la théorie des fonctions moyenne-périodiques à la résolution de certaines équations intégrales (1934) * Application de la théorie des fonctions moyenne-périodiques à la résolution des équations de Fredholm-Nörlund (1935) * * Fonctions moyenne-périodiques sur un groupe abstrait (1937 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Simone Weil
Simone Adolphine Weil ( ; ; 3 February 1909 – 24 August 1943) was a French philosopher, mystic and political activist. Despite her short life, her ideas concerning religion, spirituality, and politics have remained widely influential in contemporary philosophy. She was born in Paris to an Alsatian Jewish family. Her elder brother, André, would later become a renowned mathematician. After her graduation from formal education, Weil became a teacher. She taught intermittently throughout the 1930s, taking several breaks because of poor health and in order to devote herself to political activism. She assisted in the trade union movement, taking the side of the anarchists known as the Durruti Column in the Spanish Civil War. During a twelve-month period she worked as a labourer, mostly in car factories, so that she could better understand the working class. Weil became increasingly religious and inclined towards mysticism as her life progressed. She died of heart failure in ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Shift Operator
In mathematics, and in particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function to its translation . In time series analysis, the shift operator is called the '' lag operator''. Shift operators are examples of linear operators, important for their simplicity and natural occurrence. The shift operator action on functions of a real variable plays an important role in harmonic analysis, for example, it appears in the definitions of almost periodic functions, positive-definite functions, derivatives, and convolution. Shifts of sequences (functions of an integer variable) appear in diverse areas such as Hardy spaces, the theory of abelian varieties, and the theory of symbolic dynamics, for which the baker's map is an explicit representation. The notion of triangulated category is a categorified analogue of the shift operator. Definition Functions of a real variable The shift operator (where ) takes a fu ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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French Mathematical Analysts
French may refer to: * Something of, from, or related to France ** French language, which originated in France ** French people, a nation and ethnic group ** French cuisine, cooking traditions and practices Arts and media * The French (band), a British rock band * "French" (episode), a live-action episode of ''The Super Mario Bros. Super Show!'' * ''Française'' (film), a 2008 film * French Stewart (born 1964), American actor Other uses * French (surname), a surname (including a list of people with the name) * French (tunic), a type of military jacket or tunic * French's, an American brand of mustard condiment * French (catheter scale), a unit of measurement * French Defence, a chess opening * French kiss, a type of kiss See also * France (other) * Franch, a surname * French Revolution (other) * French River (other), several rivers and other places * Frenching (other) * Justice French (other) Justice French may refer to: * C. G. ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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École Normale Supérieure Alumni
École or Ecole may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École The École, formerly Ecole Internationale de New York, is an intimate and independent French-American school, which cultivates an internationally minded community of students from 2 to 14 years old in New York City’s vibrant Flatiron Distric ..., a French-American bilingual school in New York City * Ecole Software, a Japanese video-games developer/publisher {{disambiguation, geo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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People From Fourmies, Nord
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determination, as i ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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1968 Deaths
Events January–February * January 1968, January – The I'm Backing Britain, I'm Backing Britain campaign starts spontaneously. * January 5 – Prague Spring: Alexander Dubček is chosen as leader of the Communist Party of Czechoslovakia. * January 10 – John Gorton is sworn in as 19th Prime Minister of Australia, taking over from John McEwen after being 1968 Liberal Party of Australia leadership election, elected leader of the Liberal Party of Australia, Liberal Party the previous day, following the disappearance of Harold Holt. Gorton becomes the only Australian Senate, Senator to become Prime Minister, though he immediately transfers to the Australian House of Representatives, House of Representatives through the 1968 Higgins by-election in Holt's vacant seat. * January 15 – The 1968 Belice earthquake in Sicily kills 380 and injures around 1,000. * January 21 ** Vietnam War: Battle of Khe Sanh – One of the most publicized and controversial battles of the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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1903 Births
Events January * January 1 – Edward VII is proclaimed Emperor of India. * January 10 – The Aceh Sultanate was fully annexed by the Dutch East Indies, Dutch forces, deposing the last sultan, marking the end of the Aceh War that have lasted for almost 30 years. * January 19 – The first west–east transatlantic radio broadcast is made from the United States to England (the first east–west broadcast having been made in 1901#December, 1901). February * February 13 – Venezuelan crisis of 1902–03, Venezuelan crisis: After agreeing to arbitration in Washington, the United Kingdom, Germany and Italy reach a settlement with Venezuela resulting in the Washington Protocols. The naval blockade that began in 1902 ends. * February 23 – Cuba leases Guantánamo Bay to the United States "in perpetuity". March * March 2 – In New York City, the Martha Washington Hotel, the first hotel exclusively for women, opens. * March 3 – The British Admir ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Zürich
Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The Urban agglomeration, urban area was home to 1.45 million people (2020), while the Zurich Metropolitan Area, Zurich metropolitan area had a total population of 2.1 million (2020). Zurich is a hub for railways, roads, and air traffic. Both Zurich Airport and Zürich Hauptbahnhof, Zurich's main railway station are the largest and busiest in the country. Permanently settled for over 2,000 years, Zurich was founded by the Roman Empire, Romans, who called it '. However, early settlements have been found dating back more than 6,400 years (although this only indicates human presence in the area and not the presence of a town that early). During the Middle Ages, Zurich gained the independent and privileged status of imperial immediacy and, in 1519 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Invited Speaker At The International Congress Of Mathematicians
An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to websites and other technology-related organisations, the term refers to a more specific situation whereby invitations are sent, but there is never any approval needed from other members. Popular alternatives to this specific version are open registration and closed registration. Open registration is where any user can freely join. Closed registration involves an existing member recommending a new member and approval is sought amongst existing members. The basis of the invitation system is that a member can grant approval to a new user without having to consult any other members. Existing members may receive a set number of invitations (sometimes in the form of tokens) to allow others to join the service. Those invited to a website are typi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Nicolas Bourbaki
Nicolas Bourbaki () is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale supérieure (Paris), École normale supérieure (ENS). Founded in 1934–1935, the Bourbaki group originally intended to prepare a new textbook in mathematical analysis, analysis. Over time the project became much more ambitious, growing into a large series of textbooks published under the Bourbaki name, meant to treat modern pure mathematics. The series is known collectively as the ''Éléments de mathématique'' (''Elements of Mathematics''), the group's central work. Topics treated in the series include set theory, abstract algebra, topology, analysis, Lie groups, and Lie algebras. Bourbaki was founded in response to the effects of the First World War which caused the death of a generation of French mathematicians; as a result, young university instructors were forced to use dated texts. While teaching at the University of Strasbourg, Henri Cartan co ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mean-periodic Function
In mathematical analysis, the concept of a mean-periodic function is a generalization introduced in 1935 by Jean Delsarte of the concept of a periodic function. Further results were made by Laurent Schwartz and J-P Kahane. Definition Consider a continuous complex number, complex-valued function of a real number, real variable. The function is periodic with period precisely if for all real , we have . This can be written as : \int f(x-t) \, d\mu(t) = 0\qquad\qquad(1) where \mu is the difference between the Dirac delta function, Dirac measures at 0 and ''a''. The function is mean-periodic if it satisfies the same equation (1), but where \mu is some arbitrary nonzero measure with compact (hence bounded) support. Equation (1) can be interpreted as a convolution, so that a mean-periodic function is a function for which there exists a compactly supported (signed) Borel measure \mu for which f*\mu = 0. There are several well-known equivalent definitions. Relati ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |