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Fritz Carlson
Fritz David Carlson (23 July 1888 – 28 November 1952) was a Swedish mathematician. After the death of Torsten Carleman, he headed the Mittag-Leffler Institute. Carlson's contributions to analysis include Carlson's theorem, the Polyá–Carlson theorem on rational functions, and Carlson's inequality : \left( \sum_^\infty , a_n, \right)^4 \leq \pi^2 \sum_^\infty , a_n, ^2 \, \sum_^\infty n^2 , a_n, ^2~. In number theory, his results include Carlson's theorem on Dirichlet series. Hans Rådström, Germund Dahlquist Germund Dahlquist (16 January 1925 – 8 February 2005) was a Swedish mathematician known primarily for his early contributions to the theory of numerical analysis as applied to differential equations. Dahlquist began to study mathematics at Stoc ..., and Tord Ganelius were among his students. Notes External links * 1888 births 1952 deaths 20th-century Swedish mathematicians KTH Royal Institute of Technology faculty Mathematical analysts Directors ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vimmerby
Vimmerby () is a city status in Sweden, city and the seat of Vimmerby Municipality, Kalmar County, Sweden with 10,934 inhabitants in 2010. Overview Stångån is a small river running through the city. Vimmerby had its charter as early as the fourteenth century. The main street, ''Storgatan'', still has the shape in which it was built in the medieval time. There are also many old wooden houses in the city. Vimmerby is currently a tourist attraction due to historical links with Swedish author Astrid Lindgren (1907–2002). The Astrid Lindgren's World is a theme park for children that has themes from her books, and is visited by fans from around the world. When Astrid Lindgren wrote her books about the country boy Emil i Lönneberga, Emil of Lönneberga she used much information from her own upbringing in the rural areas of Vimmerby. Another well-known person from Vimmerby is Sweden national football team, Swedish record international Goalkeeper (association football), goalkeepe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mittag-Leffler Institute
The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in half-year programs in specialized mathematical subjects. The Institute is run by the Royal Swedish Academy of Sciences on behalf of research societies representing all the Scandinavian countries. The Institute's main building was originally the residence of Gösta Mittag-Leffler, who donated it along with his extensive mathematics library. At his death in 1927, however, Mittag-Leffler's fortune was insufficient to set up an active research institute, which began operation only in 1969 under the leadership of Lennart Carleson. The journals '' Acta Mathematica'' and ''Arkiv för Matematik'' are published by the institute. For a number of years at the beginning of the 20th century, Mittag-Leffler's villa hosted a celebratory dinner for Nobel Prize laureates. Notable visitors Each year the institute invites the best mathematician i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
KTH Royal Institute Of Technology Faculty theme files
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KTH may refer to: * Keat Hong LRT station, Singapore, LRT station abbreviation * Kent House railway station, London, National Rail station code * KTH Royal Institute of Technology, a university in Sweden * KTH Krynica, a Polish ice hockey team * Khyber Teaching Hospital, a university hospital in Pakistan * .kth, the extension of KDE KDE is an international free software community that develops free and open-source software. As a central development hub, it provides tools and resources that allow collaborative work on this kind of software. Well-known products include the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1952 Deaths
Year 195 ( CXCV) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Scrapula and Clemens (or, less frequently, year 948 ''Ab urbe condita''). The denomination 195 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus has the Roman Senate deify the previous emperor Commodus, in an attempt to gain favor with the family of Marcus Aurelius. * King Vologases V and other eastern princes support the claims of Pescennius Niger. The Roman province of Mesopotamia rises in revolt with Parthian support. Severus marches to Mesopotamia to battle the Parthians. * The Roman province of Syria is divided and the role of Antioch Antioch on the Orontes (; grc-gre, Ἀντιόχεια ἡ ἐπὶ Ὀρόντου, ''Antiókhei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1888 Births
In Germany, 1888 is known as the Year of the Three Emperors. Currently, it is the year that, when written in Roman numerals, has the most digits (13). The next year that also has 13 digits is the year 2388. The record will be surpassed as late as 2888, which has 14 digits. Events January–March * January 3 – The 91-centimeter telescope at Lick Observatory in California is first used. * January 12 – The Schoolhouse Blizzard hits Dakota Territory, the states of Montana, Minnesota, Nebraska, Kansas, and Texas, leaving 235 dead, many of them children on their way home from school. * January 13 – The National Geographic Society is founded in Washington, D.C. * January 21 – The Amateur Athletic Union is founded by William Buckingham Curtis in the United States. * January 26 – The Lawn Tennis Association is founded in England. * February 6 – Gillis Bildt becomes Prime Minister of Sweden (1888–1889). * February 27 – In West O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dirichlet Series
In mathematics, a Dirichlet series is any series of the form \sum_^\infty \frac, where ''s'' is complex, and a_n is a complex sequence. It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analytic number theory. The most usually seen definition of the Riemann zeta function is a Dirichlet series, as are the Dirichlet L-functions. It is conjectured that the Selberg class of series obeys the generalized Riemann hypothesis. The series is named in honor of Peter Gustav Lejeune Dirichlet. Combinatorial importance Dirichlet series can be used as generating series for counting weighted sets of objects with respect to a weight which is combined multiplicatively when taking Cartesian products. Suppose that ''A'' is a set with a function ''w'': ''A'' → N assigning a weight to each of the elements of ''A'', and suppose additionally that the Fiber (mathematics), fibre over any natural number under that weight is a finite set. (We call such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carlson's Theorem
In mathematics, in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two different analytic functions which do not grow very fast at infinity can not coincide at the integers. The theorem may be obtained from the Phragmén–Lindelöf theorem, which is itself an extension of the maximum-modulus theorem. Carlson's theorem is typically invoked to defend the uniqueness of a Newton series expansion. Carlson's theorem has generalized analogues for other expansions. Statement Assume that satisfies the following three conditions: the first two conditions bound the growth of at infinity, whereas the third one states that vanishes on the non-negative integers. * is an entire function of exponential type, meaning that , f(z), \leq C e^, \quad z \in \mathbb for some real values , . * There exists such that , f(iy), \leq C e^, \quad y \in \mathbb * for any non-negative integer . Then i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 |
Stockholm
Stockholm () is the Capital city, capital and List of urban areas in Sweden by population, largest city of Sweden as well as the List of urban areas in the Nordic countries, largest urban area in Scandinavia. Approximately 980,000 people live in the Stockholm Municipality, municipality, with 1.6 million in the Stockholm urban area, urban area, and 2.4 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. It is also the county seat of Stockholm County. For several hundred years, Stockholm was the capital of Finland as well (), which then was a part of Sweden. The population of the municipality of Stockholm is expected to reach o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
