- Dirichlet kernel
- Математика: ядро Дирихле
Универсальный англо-русский словарь. Академик.ру. 2011.
Dirichlet kernel
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Dirichlet kernel — In mathematical analysis, the Dirichlet kernel is the collection of functions It is named after Johann Peter Gustav Lejeune Dirichlet. The importance of the Dirichlet kernel comes from its relation to Fourier series. The convolution of Dn(x) with … Wikipedia
Dirichlet-Kern — Der Dirichlet Kern ist eine von Peter Gustav Lejeune Dirichlet untersuchte Funktionenfolge. Diese wird in der Analysis im Teilgebiet der Fourier Analysis verwendet. Dirichlet fand im Jahr 1829 den ersten strengen Beweis für die Konvergenz der… … Deutsch Wikipedia
kernel — kernelless, adj. kernelly, adj. /kerr nl/, n., v., kerneled, kerneling or (esp. Brit.) kernelled, kernelling. n. 1. the softer, usually edible part contained in the shell of a nut or the stone of a fruit. 2. the body of a seed within its husk or… … Universalium
Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… … Wikipedia
Johann Peter Gustav Lejeune Dirichlet — Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Born 13 Fe … Wikipedia
Fejér kernel — In mathematics, the Fejér kernel is used to express the effect of Cesàro summation on Fourier series. It is a non negative kernel, giving rise to an approximate identity.The Fejér kernel is defined as :F n(x) = frac{1}{n} sum {k=0}^{n 1}D… … Wikipedia
Poisson kernel — In potential theory, the Poisson kernel is the derivative of the Green s function for the two dimensional Laplace equation, under circular symmetry, using Dirichlet boundary conditions. It is used for solving the two dimensional Dirichlet problem … Wikipedia
Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… … Wikipedia
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
List of trigonometric identities — Cosines and sines around the unit circle … Wikipedia
List of important publications in mathematics — One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… … Wikipedia
