Fourier representation

Fourier representation
Математика: представление Фурье

Универсальный англо-русский словарь. . 2011.

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  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

  • Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

  • Fourier optics — is the study of classical optics using techniques involving Fourier transforms and can be seen as an extension of the Huygens Fresnel principle. The underlying theorem that light waves can be described as made up of sinusoidal waves, in a manner… …   Wikipedia

  • FOURIER (J.) — C’est surtout grâce à la série et à l’intégrale qui portent son nom que le mathématicien français Joseph Fourier est connu du mathématicien et du physicien modernes; mais il a aussi amélioré les techniques d’approximation des racines des… …   Encyclopédie Universelle

  • Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …   Wikipedia

  • Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

  • Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… …   Wikipedia

  • Representation 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… …   Wikipedia

  • Fourier transform on finite groups — In mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups.DefinitionsThe Fourier transform of a function f : G ightarrow mathbb{C},at a representation ho,… …   Wikipedia

  • Representation of a Lie group — In mathematics and theoretical physics, the idea of a representation of a Lie group plays an important role in the study of continuous symmetry. A great deal is known about such representations, a basic tool in their study being the use of the… …   Wikipedia

  • FONCTIONS (REPRÉSENTATION ET APPROXIMATION DES) — Il arrive très souvent que, dans les problèmes issus des mathématiques ou des autres sciences, les fonctions qui interviennent soient définies par des procédés qui ne permettent pas d’étudier de manière efficace leurs propriétés. C’est le cas des …   Encyclopédie Universelle


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