non-harmonic Fourier series

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

• Décomposition d'un signal non sinusoïdal en séries de Fourier — Série de Fourier Le premier graphe donne l allure du graphe d une fonction périodique ; l histogramme donne les valeurs des modules des coefficients de Fourier correspondant aux différentes fréquences. En analyse, les séries de Fourier sont… …   Wikipédia en Français

• 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

• Harmonic analysis — is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. It investigates and generalizes the notions of Fourier series and Fourier transforms. The basic waves are called harmonics… …   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

• Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   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

• Séries de Fourier — Série de Fourier Le premier graphe donne l allure du graphe d une fonction périodique ; l histogramme donne les valeurs des modules des coefficients de Fourier correspondant aux différentes fréquences. En analyse, les séries de Fourier sont… …   Wikipédia en Français

• Non-commutative harmonic analysis — In mathematics, non commutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin …   Wikipedia

• Harmonic — This article is about the components of periodic signals. For other uses, see Harmonic (disambiguation). The nodes of a vibrating string are harmonics. A harmonic of a wave is a component frequency of the signal that is an integer multiple of the …   Wikipedia