integrable kernel
51Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …
52Théorème de Mercer — En mathématiques et plus précisément en analyse fonctionnelle, le théorème de Mercer est une représentation d une fonction symétrique de type positif par le carré d une série convergente de produits de fonctions. Ce théorème est l un des… …
53Fourier transform — Math. a mapping of a function, as a signal, that is defined in one domain, as space or time, into another domain, as wavelength or frequency, where the function is represented in terms of sines and cosines. [1920 25; see FOURIER ANALYSIS] * * *… …
54Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …
55Johann Peter Gustav Lejeune Dirichlet — Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Born 13 Fe …
56Weight function — A weight function is a mathematical device used when performing a sum, integral, or average in order to give some elements more weight or influence on the result than other elements in the same set. They occur frequently in statistics and… …
57Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… …
58Sturm-Liouville theory — In mathematics and its applications, a classical Sturm Liouville equation, named after Jacques Charles François Sturm (1803 1855) and Joseph Liouville (1809 1882), is a real second order linear differential equation of the formwhere y is a… …
59Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …
60Fredholm alternative — In mathematics, the Fredholm alternative, name 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… …
