# Fourier's theorem

﻿
Fourier's theorem
noun Date: 1834 a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

• Fourier inversion theorem — In mathematics, Fourier inversion recovers a function from its Fourier transform. Several different Fourier inversion theorems exist. Sometimes the following identity is used as the definition of the Fourier transform::(mathcal{F}f)(t)=int {… …   Wikipedia

• fourier's theorem — ē|āz noun Usage: usually capitalized F Etymology: after Jean Baptiste Joseph Fourier died 1830 : a theorem in mathematics: any periodic function may be resolved into sine and cosine terms involving known constants …   Useful english dictionary

• 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 — (pronEng|ˈfʊərieɪ, French pronunciation IPA2|fuʁie) may refer to:*Charles Fourier (1772–1837), a French utopian socialist thinker *Joseph Fourier (1768–1830), a French mathematician and physicist **Mathematics, physics, and engineering terms… …   Wikipedia

• Fourier theorem — In mathematics, the Fourier theorem is a theorem stating that a periodic function f ( x ), which is reasonably continuous, may be expressed as the sum of a series of sine and cosine terms (called the Fourier series), each of which has specific… …   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 algebra — Fourier and related algebras occur naturally in the harmonic analysis of locally compact groups. They play an important role in the duality theories of these groups. The Fourier–Stieltjes algebra and the Fourier algebra of a locally compact group …   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

• Fourier, Joseph, Baron — ▪ French mathematician Introduction born March 21, 1768, Auxerre, Fr. died May 16, 1830, Paris  French mathematician, known also as an Egyptologist and administrator, who exerted strong influence on mathematical physics through his Théorie… …   Universalium