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Lars-Erik Persson
Lars-Erik Persson (born 24 September 1944) is a Swedish/Norwegian professor in mathematics, known for his works in Fourier analysis, function spaces, inequalities, interpolation theory and related problems connected to convexity and quasi-monotone functions. Persson comes from the small village Svanabyn in Dorotea community, Sweden. He received his PhD degree in mathematics at Umeå University in 1974. In 1975 he was employed as associate professor in mathematics at Luleå University of Technology (LTU), and was appointed full professor in 1994. Since 2019 he is professor emeritus there. Before his professor appointment at LTU, he was appointed as full professor at UiT The Arctic University of Norway, Campus Narvik (previously Narvik University College) in 1992. He still works as professor of mathematics at the same university. He was also appointed as honorary professor at L.N.Gumilyov Eurasian National University, Kazakhstan in 2005. Persson has also worked as a part-time p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fourier Analysis
In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. For example, determining what component frequencies are present in a musical note would involve computing the Fourier transform of a sampled musical note. One could then re-synthesize the same sound by including the frequency components as revealed in the Fourier analysis. In mathematics, the term ''Fourier ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Function Space
In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication. In other scenarios, the function space might inherit a topological or metric structure, hence the name function ''space''. In linear algebra Let be a vector space over a field and let be any set. The functions → can be given the structure of a vector space over where the operations are defined pointwise, that is, for any , : → , any in , and any in , define \begin (f+g)(x) &= f(x)+g(x) \\ (c\cdot f)(x) &= c\cdot f(x) \end When the domain has additional structure, one might consider instead the subset (or subspace) of all such functions which respect that structure. For example, if is also a vector space over , the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inequality (mathematics)
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. There are several different notations used to represent different kinds of inequalities: * The notation ''a'' ''b'' means that ''a'' is greater than ''b''. In either case, ''a'' is not equal to ''b''. These relations are known as strict inequalities, meaning that ''a'' is strictly less than or strictly greater than ''b''. Equivalence is excluded. In contrast to strict inequalities, there are two types of inequality relations that are not strict: * The notation ''a'' ≤ ''b'' or ''a'' ⩽ ''b'' means that ''a'' is less than or equal to ''b'' (or, equivalently, at most ''b'', or not greater than ''b''). * The notation ''a'' ≥ ''b'' or ''a'' ⩾ ''b'' means that ''a'' is greater than or equal to ''b'' (or, equivalently, at least ''b'', or not less than ''b''). The re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interpolation Theory
{{about, Interpolation Theory in biology, other types of interpolation, interpolation (other) The Interpolation Theory, also known as the Intercalation Theory or the Antithetic Theory, is a theory that attempts to explain the origin of the alternation of generations in plants. The Interpolation Theory suggests that the sporophyte generation progenated from a haploid, green algal thallus in which repeated mitotic cell divisions of a zygote produced an embryo retained on the thallus and gave rise to the diploid phase (sporophyte). Ensuing evolution caused the sporophyte to become increasingly complex, both organographically and anatomically. The Interpolation Theory was introduced by Čelakovský (1874) as the Antithetic Theory. Bower (1889) further developed this theory and renamed it the Interpolation Theory. The theory was later supported by Overton (1893), Scott (1896), Strasburger (1897), Williams (1904), and others. The gradual evolution of an independent, sporoph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umeå University
Umeå University ( sv, Umeå universitet; Ume Sami: ) is a public research university located in Umeå, in the mid-northern region of Sweden. The university was founded in 1965 and is the fifth oldest within Sweden's present borders. As of 2015, Umeå University has over 36,000 registered students (approximately 16,000 full-time students), including those at the postgraduate and doctoral level. It has more than 4,000 employees, half of which are teachers/researchers, including 310 professors. Internationally, the university is known for research relating to the genome of the poplar tree and the Norway Spruce, and its highly ranked Institute of (industrial) Design. Organisation The highest branch at Umeå University is the University Board of Directors. The board includes eight members (including the board chairman) appointed by the government, the vice-chancellor, three representatives for the teachers, three for other employees, and three for the students. The University ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luleå University Of Technology
Luleå University of Technology is a Public Research University in Norrbotten County, Sweden. The university has four campuses located in the Arctic Region in the cities of Luleå, Kiruna, Skellefteå, and Piteå. With more than 19,000 students and about 1,500 employees, Luleå University of Technology is a middle-sized academic institution in Sweden and Scandinavia's northernmost Institute of Technology. Luleå University of Technology is consistently ranked among the world's top universities, especially in Mining Science, Materials Science, Engineering, Computer Science, Robotics, and Space Science. The university is famous for its groundbreaking collaborations with various industry partners, such as LKAB, Ericsson, Boliden, ABB, and Epiroc, and its high amount of externally funded research. The university was originally established in 1971 under the name Luleå University College and had its first campus in the suburbs of Porsön in Luleå. But was a couple of years later m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Narvik University College
Narvik University College merged with the University of Tromsø ( no, UiT - Norges arktiske universitet or ) from 1 January 2016 and is now nameUiT - The Arctic University of Norway, campus Narvik It has approximately 2000 students and 220 employees. The campus offers bachelor's degrees in nursing, business and administration as well as engineering and various master's degrees in Technology. It also offers a PhD in technology. References Narvik University College * https://uit.no/sted/narvik Universities and colleges in Norway Education in Nordland Educational institutions established in 1994 1994 establishments in Norway {{Norway-university-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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