Ã…ke Pleijel
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Ã…ke Pleijel
Åke Vilhelm Carl Pleijel (10 August 1913 – 24 September 1989) was a Swedish mathematician. He completed his PhD in mathematics at Stockholm University in 1940 (with Torsten Carleman as supervisor), and later became Professor of Mathematics at Uppsala University. Åke Vilhelm Carl Pleijel published the paper in which the Minakshisundaram–Pleijel zeta function The Minakshisundaram–Pleijel zeta function is a zeta function encoding the eigenvalues of the Laplacian of a compact Riemannian manifold. It was introduced by . The case of a compact region of the plane was treated earlier by . Definition For ... was introduced. References * External links * 1913 births 1989 deaths Stockholm University alumni 20th-century Swedish mathematicians Members of the Royal Swedish Academy of Sciences {{Sweden-mathematician-stub ...
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Lund University
Lund University () is a Public university, public research university in Sweden and one of Northern Europe's oldest universities. The university is located in the city of Lund in the Swedish province of Scania. The university was officially founded in 1666 on the location of the old ''studium generale'' next to Lund Cathedral. Lund University has nine Faculty (division), faculties, with additional campuses in the cities of Malmö and Helsingborg, with around 47,000 students in 241 different programmes and 1,450 freestanding courses. The university has 560 partner universities in approximately 70 countries. It belongs to the League of European Research Universities as well as the global Universitas 21 network. Among those associated with the university are five Nobel Prize winners, a Fields Medal winner, prime ministers and business leaders. Two major facilities for materials research have been recent strategic priorities in Lund: MAX IV, a synchrotron radiation laboratory – in ...
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Uppsala University
Uppsala University (UU) () is a public university, public research university in Uppsala, Sweden. Founded in 1477, it is the List of universities in Sweden, oldest university in Sweden and the Nordic countries still in operation. Initially founded in the 15th century, the university rose to significance during the rise of Swedish Empire, Sweden as a great power at the end of the 16th century and was then given relative financial stability with a large donation from Monarchy of Sweden, King Gustavus Adolphus of Sweden, Gustavus Adolphus in the early 17th century. Uppsala also has an important historical place in Swedish national culture, and national identity, identity for the Swedish establishment: in historiography, religion, literature, politics, and music. Many aspects of Swedish academic culture in general, such as the white student cap, originated in Uppsala. It shares some peculiarities, such as the student nation system, with Lund University and the University of Helsink ...
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Stockholm University
Stockholm University (SU) () is a public university, public research university in Stockholm, Sweden, founded as a college in 1878, with university status since 1960. With over 33,000 students at four different faculties: law, humanities, social sciences, and natural sciences, it is one of the largest universities in Scandinavia. Stockholm University was granted university status in 1960, making it the fourth oldest List of universities in Sweden, Swedish university. As with other public universities in Sweden, Stockholm University's mission includes teaching and research anchored in society at large. History The initiative for the formation of Stockholm University was taken by the Stockholm City Council. The process was completed after a decision in December 1865 regarding the establishment of a fund and a committee to "establish a higher education institution in the capital".Thomasson, Carl-Gustaf, Stockholms högskolas matrikel 1878–1887. Stockholm 1969, sid. 52 The nine m ...
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Torsten Carleman
Torsten Carleman (8 July 1892, Visseltofta, Osby Municipality – 11 January 1949, Stockholm), born Tage Gillis Torsten Carleman, was a Swedish mathematician, known for his results in classical analysis and its applications. As the director of the Mittag-Leffler Institute for more than two decades, Carleman was the most influential mathematician in Sweden. Work The dissertation of Carleman under Erik Albert Holmgren, as well as his work in the early 1920s, was devoted to singular integral equations. He developed the spectral theory of integral operators with ''Carleman kernels'', that is, kernels ''K''(''x'', ''y'') such that ''K''(''y'', ''x'') =  for almost every (''x'', ''y''), and : \int , K(x, y) , ^2 dy < \infty for almost every ''x''. In the mid-1920s, Carleman developed the theory of

Jaak Peetre
Jaak Peetre (29 July 1935, in Tallinn – 1 April 2019, in Lund) was an Estonian-born Swedish mathematician.Eesti teaduse biograafiline leksikon (Biographical Lexicon of Estonian Science), 3. köide (volume 3) He is known for the Peetre theorem and Peetre's inequality. Biography Jaak Peetre's father was Arthur Peetre (1907–1989), an Estonian jurist, historian, archivist, and from 1941 to 1942 mayor of Pärnu. Jaak Peetre went to Sweden with his parents and brother in 1944. At Lund University he graduated with BSc in 1956 and PhD in 1959. His thesis advisor was Åke Pleijel. At Lund University, Peetre was an assistant professor from 1956 to 1959, an associate professor from 1960 to 1963, and full professor from 1963 to 1988. He was briefly in 1988 a visiting professor at the University of Madrid and was from 1988 to 1992 a visiting professor at Stockholm University. At Lund University he was a lecturer from 1993 to 1997, an assistant professor from 1997 to 2000, and professor e ...
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Minakshisundaram–Pleijel Zeta Function
The Minakshisundaram–Pleijel zeta function is a zeta function encoding the eigenvalues of the Laplacian of a compact Riemannian manifold. It was introduced by . The case of a compact region of the plane was treated earlier by . Definition For a compact Riemannian manifold ''M'' of dimension ''N'' with eigenvalues \lambda_1, \lambda_2, \ldots of the Laplace–Beltrami operator \Delta, the zeta function is given for \operatorname(s) sufficiently large by : Z(s) = \mbox(\Delta^) = \sum_^ \vert \lambda_ \vert^. (where if an eigenvalue is zero it is omitted in the sum). The manifold may have a boundary, in which case one has to prescribe suitable boundary conditions, such as Dirichlet or Neumann boundary conditions. More generally one can define : Z(P, Q, s) = \sum_^ \frac for ''P'' and ''Q'' on the manifold, where the f_n are normalized eigenfunctions. This can be analytically continued to a meromorphic function of ''s'' for all complex ''s'', and is holomorphic for P\ne Q ...
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Canadian Journal Of Mathematics
The ''Canadian Journal of Mathematics'' () is a bimonthly mathematics journal published by the Canadian Mathematical Society. It was established in 1949 by H. S. M. Coxeter and G. de B. Robinson. The current editors-in-chief of the journal are Henry Kim and Robert McCann. The journal publishes articles in all areas of mathematics. See also * Canadian Mathematical Bulletin The ''Canadian Mathematical Bulletin'' () is a mathematics journal, established in 1958 and published quarterly by the Canadian Mathematical Society. The current editors-in-chief of the journal are Antonio Lei and Javad Mashreghi. The journal p ... References External links * Research Journals, Canadian Mathematical Society University of Toronto Press academic journals Mathematics journals Academic journals established in 1949 Bimonthly journals Multilingual journals Cambridge University Press academic journals Academic journals associated with learned and professional societies of Cana ...
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1913 Births
Events January * January – Joseph Stalin travels to Vienna to research his ''Marxism and the National Question''. This means that, during this month, Stalin, Hitler, Trotsky and Tito are all living in the city. * January 3 – First Balkan War: Greece completes its Battle of Chios (1912), capture of the eastern Aegean island of Chios, as the last Ottoman forces on the island surrender. * January 13 – Edward Carson founds the (first) Ulster Volunteers, Ulster Volunteer Force, by unifying several existing Ulster loyalism, loyalist militias to resist home rule for Ireland. * January 18 – First Balkan War: Battle of Lemnos (1913), 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 23 – 1913 Ottoman coup d'état: Enver Pasha comes to power. February * February 1 – New York City's Grand Central Te ...
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1989 Deaths
1989 was a turning point in political history with the " Revolutions of 1989" which ended communism in Eastern Bloc of Europe, starting in Poland and Hungary, with experiments in power-sharing coming to a head with the opening of the Berlin Wall in November, the Velvet Revolution in Czechoslovakia and the overthrow of the communist dictatorship in Romania in December; the movement ended in December 1991 with the dissolution of the Soviet Union. Revolutions against communist governments in Eastern Europe mainly succeeded, but the year also saw the suppression by the Chinese government of the 1989 Tiananmen Square protests in Beijing. It was the year of the first Brazilian direct presidential election in 29 years, since the end of the military government in 1985 that ruled the country for more than twenty years, and marked the redemocratization process's final point. F. W. de Klerk was elected as State President of South Africa, and his regime gradually dismantled th ...
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Stockholm University Alumni
Stockholm (; ) is the Capital city, capital and List of urban areas in Sweden by population, most populous city of Sweden, as well as the List of urban areas in the Nordic countries, largest urban area in the Nordic countries. Approximately 1 million people live in the Stockholm Municipality, municipality, with 1.6 million in the Stockholm urban area, urban area, and 2.5 million in the Metropolitan Stockholm, metropolitan area. The city stretches across fourteen islands where Mälaren, Lake Mälaren flows into the Baltic Sea. Outside the city to the east, and along the coast, is the island chain of the Stockholm archipelago. The area has been settled since the Stone Age, in the 6th millennium BC, and was founded as a city in 1252 by Swedish statesman Birger Jarl. The city serves as the county seat of Stockholm County. Stockholm is the cultural, media, political, and economic centre of Sweden. The Stockholm region alone accounts for over a third of the country's Gros ...
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