Helmut Grunsky
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Helmut Grunsky
Helmut Grunsky (11 July 1904 – 5 June 1986) was a German mathematician who worked in complex analysis and geometric function theory. He introduced Grunsky's theorem and the Grunsky inequalities. In 1936, he was appointed editor of ''Jahrbuch über die Fortschritte der Mathematik''. In 1939 he was forced to leave this position after Ludwig Bieberbach accused him of employing Jewish referees in a notorious letter. He joined the Nazi Party on 1 April 1940, though he seems to have had little sympathy with its philosophy. He published in the journal Deutsche Mathematik. From 1949 he was Privatdozent at the University of Tübingen; later, he was professor at the University of Mainz and at the University of Würzburg The Julius Maximilian University of Würzburg (also referred to as the University of Würzburg, in German ''Julius-Maximilians-Universität Würzburg'') is a public research university in Würzburg, Germany. The University of Würzburg is one of .... Works * * * * ...
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Eichstätt
Eichstätt () is a town in the federal state of Bavaria, Germany, and capital of the district of Eichstätt. It is located on the Altmühl river and has a population of around 13,000. Eichstätt is also the seat of the Roman Catholic Diocese of Eichstätt. Geography Location Eichstätt lies on both sides of the river Altmühl in the district of Eichstätt of the Oberbayern region of Bavaria, in the heart of Altmühl Valley Nature Park. Geology Eichstätt is located in a valley of the Franconian Jura and is famous for the quarries of Solnhofen Plattenkalk (Jurassic limestone). On the Blumenberg the Berlin specimen of Archaeopteryx was found by Jakob Niemeyer. History St. Willibald founded the Diocese of Eichstätt on the site of an old Roman station ( or ) in 741. The city was given walls and chartered in 908. It was ruled by a prince-bishop, and in the Holy Roman Empire was the seat of the Bishopric of Eichstätt until secularization in 1802. In 1806, it became a part ...
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Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ...
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1904 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ...
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University Of Würzburg
The Julius Maximilian University of Würzburg (also referred to as the University of Würzburg, in German ''Julius-Maximilians-Universität Würzburg'') is a public research university in Würzburg, Germany. The University of Würzburg is one of the oldest institutions of higher learning in Germany, having been founded in 1402. The university initially had a brief run and was closed in 1415. It was reopened in 1582 on the initiative of Julius Echter von Mespelbrunn. Today, the university is named for Julius Echter von Mespelbrunn and Maximilian Joseph. The University of Würzburg is part of the U15 group of research-intensive German universities. The university is also a member of the Coimbra Group. Name Its official name is Julius-Maximilians-Universität Würzburg (or "Julius-Maximilian University of Würzburg") but it is commonly referred to as the University of Würzburg. This name is taken from Julius Echter von Mespelbrunn, Prince-Bishop of Würzburg, who reestablishe ...
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University Of Mainz
The Johannes Gutenberg University Mainz (german: Johannes Gutenberg-Universität Mainz) is a public research university in Mainz, Rhineland Palatinate, Germany, named after the printer Johannes Gutenberg since 1946. With approximately 32,000 students (2018) in about 100 schools and clinics, it is among the largest universities in Germany. Starting on 1 January 2005 the university was reorganized into 11 faculties of study. The university is a member of the German U15, a coalition of fifteen major research-intensive and leading medical universities in Germany. The Johannes Gutenberg University is considered one of the most prestigious universities in Germany. The university is part of the IT-Cluster Rhine-Main-Neckar. The Johannes Gutenberg University Mainz, the Goethe University Frankfurt and the Technische Universität Darmstadt together form the Rhine-Main-Universities (RMU). History The first University of Mainz goes back to the Archbishop of Mainz, Prince-elector and ...
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University Of Tübingen
The University of Tübingen, officially the Eberhard Karl University of Tübingen (german: Eberhard Karls Universität Tübingen; la, Universitas Eberhardina Carolina), is a public research university located in the city of Tübingen, Baden-Württemberg, Germany. The University of Tübingen is one of eleven German Excellence Universities. The University of Tübingen is especially known as a centre for the study of plant biology, medicine, law, archeology, ancient cultures, philosophy, theology, and religious studies as well as more recently as center of excellence for artificial intelligence. The university's noted alumni include presidents, EU Commissioners, and judges of the Federal Constitutional Court. The university is associated with eleven Nobel laureates, especially in the fields of medicine and chemistry. History The University of Tübingen was founded in 1477 by Count Eberhard V (Eberhard im Bart, 1445–1496), later the first Duke of Württemberg, a civic and ...
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Deutsche Mathematik
''Deutsche Mathematik'' (German Mathematics) was a mathematics journal founded in 1936 by Ludwig Bieberbach and Theodor Vahlen. Vahlen was publisher on behalf of the German Research Foundation (DFG), and Bieberbach was chief editor. Other editors were , Erich Schönhardt, Werner Weber (all volumes), Ernst August Weiß (volumes 1–6), , Wilhelm Süss (volumes 1–5), Günther Schulz ( de), (volumes 1–4), Georg Feigl, Gerhard Kowalewski (volumes 2–6), , Willi Rinow, (volumes 2–5), and Oswald Teichmüller (volumes 3–7). In February 1936, the journal was declared the official organ of the German Student Union (DSt) by its ''Reichsführer'', and all local DSt mathematics departments were requested to subscribe and actively contribute. In the 1940s, issues appeared increasingly delayed and bunched; the journal ended with a triple issue (due Dec 1942) in June 1944.Issue list of volume 1, 2, 3, 4, 5, 6, 7 at commons ''Deutsche Mathematik'' is also the name of a movemen ...
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Nazi Party
The Nazi Party, officially the National Socialist German Workers' Party (german: Nationalsozialistische Deutsche Arbeiterpartei or NSDAP), was a far-right politics, far-right political party in Germany active between 1920 and 1945 that created and supported the ideology of Nazism. Its precursor, the German Workers' Party (; DAP), existed from 1919 to 1920. The Nazi Party emerged from the Extremism, extremist German nationalism, German nationalist, racism, racist and populism, populist paramilitary culture, which fought against the communism, communist uprisings in post–World War I Germany. The party was created to draw workers away from communism and into nationalism. Initially, Nazi political strategy focused on anti–big business, anti-bourgeoisie, bourgeois, and anti-capitalism, anti-capitalist rhetoric. This was later downplayed to gain the support of business leaders, and in the 1930s, the party's main focus shifted to Antisemitism, antisemitic and Criticism of ...
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Jahrbuch über Die Fortschritte Der Mathematik
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising reviews by topic. History Mathematicians Richard Courant, Otto Neugebauer, and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for a new mathematical reviewing journal. Harald Bohr worked in Copenhagen. Courant and Neugebauer were professors at the University of Göttingen. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge, and Felix Klein, the great ...
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Geometric Function Theory
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem. Topics in geometric function theory The following are some of the most important topics in geometric function theory: Conformal maps A conformal map is a function which preserves angles locally. In the most common case the function has a domain and range in the complex plane. More formally, a map, : f: U \rightarrow V\qquad with U,V \subset \mathbb^n is called conformal (or angle-preserving) at a point u_0 if it preserves oriented angles between curves through u_0 with respect to their orientation (i.e., not just the magnitude of the angle). Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. Quasiconformal maps In mathematical complex analysis, a quasiconformal mapping, introduced by and named by , is a homeomorphism between plane domains whic ...
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Grunsky Inequalities
In complex analysis and geometric function theory, the Grunsky matrices, or Grunsky operators, are infinite matrices introduced in 1939 by Helmut Grunsky. The matrices correspond to either a single holomorphic function on the unit disk or a pair of holomorphic functions on the unit disk and its complement. The Grunsky inequalities express boundedness properties of these matrices, which in general are contraction operators or in important special cases unitary operators. As Grunsky showed, these inequalities hold if and only if the holomorphic function is univalent. The inequalities are equivalent to the inequalities of Goluzin, discovered in 1947. Roughly speaking, the Grunsky inequalities give information on the coefficients of the logarithm of a univalent function; later generalizations by Milin, starting from the Lebedev–Milin inequality, succeeded in exponentiating the inequalities to obtain inequalities for the coefficients of the univalent function itself. The Grunsky matr ...
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