Fredholm
Encyclopedia
Fredholm is surname of:
(1830 – 1891), Swedish industrialist
- (Erik) Ivar FredholmErik Ivar FredholmErik Ivar Fredholm was a Swedish mathematician who established the modern theory of integral equations. His 1903 paper in Acta Mathematica is considered to be one of the major landmarks in the establishment of operator theory.The lunar crater Fredholm is named after him.-List of publications:* E.I...
(1866 – 1927), Swedish mathematician- Fredholm alternativeFredholm alternativeIn mathematics, the Fredholm alternative, named after Ivar Fredholm, is one of Fredholm's theorems and is a result in Fredholm theory. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators...
, in mathematics - Fredholm determinantFredholm determinantIn mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a matrix. It is defined for bounded operators on a Hilbert space which differ from the identity operator by a trace-class operator...
, in mathematics - Fredholm integral equationFredholm integral equationIn mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The integral equation was studied by Ivar Fredholm.-Equation of the first kind :...
, in mathematics - Fredholm kernelFredholm kernelIn mathematics, a Fredholm kernel is a certain type of a kernel on a Banach space, associated with nuclear operators on the Banach space. They are an abstraction of the idea of the Fredholm integral equation and the Fredholm operator, and are one of the objects of study in Fredholm theory....
, in mathematics - Fredholm moduleFredholm moduleIn noncommutative geometry, a Fredholm module is a mathematical structure used to quantize the differential calculus. Such a module is, up to trivial changes, the same as the abstract elliptic operator introduced by .-Definition:...
, In noncommutative geometry - Fredholm operatorFredholm operatorIn mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm....
, in mathematics - Fredholm's theoremFredholm's theoremIn mathematics, Fredholm's theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear algebra, or in terms of the Fredholm operator on...
, in mathematics - Analytic Fredholm theoremAnalytic Fredholm theoremIn mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert space. It is the basis of two classical and important theorems, the Fredholm alternative and the Hilbert–Schmidt theorem...
, in mathematics - Fredholm theoryFredholm theoryIn mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fredholm...
, in mathematics - Fredholm (crater)Fredholm (crater)Fredholm is a small lunar impact crater that is located in the rugged ground to the west of the Mare Crisium. It lies mid-way between the prominent craters Macrobius to the north and Proclus almost due south....
, a small lunar impact crater - 21659 Fredholm21659 Fredholm21659 Fredholm is a main-belt asteroid discovered on August 13, 1999 by P. G. Comba at Prescott.- External links :*...
(1999 PR3), a main-belt asteroid discovered on 1999 by P. G. Comba
- Fredholm alternative
(1830 – 1891), Swedish industrialist
- Gert FredholmGert FredholmGert Fredholm is a Danish film director and screenwriter. He has directed nine films since 1967. His 1971 film Den forsvundne fuldmægtig was entered into the 22nd Berlin International Film Festival.-Filmography:...
(born 1941), Danish film director and screenwriter (born 1978), Swedish footballer