# Fourier analysis

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Related to Fourier analysis: Fourier series

## Fourier analysis

*n.*

The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions.

## Fourier analysis

(ˈfʊərɪˌeɪ)*n*

(Mathematics) the analysis of a periodic function into its simple sinusoidal or harmonic components, whose sum forms a Fourier series

[C19: named after Baron Jean Baptiste Joseph

*Fourier*(1768–1830), French mathematician, Egyptologist, and administrator]## Fou′rier anal`ysis

*n.*

the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function.

[1925–30; after J.B.J. Fourier]

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Noun | 1. | Fourier analysis - analysis of a periodic function into a sum of simple sinusoidal componentsanalysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation |

Translations

**Fourier-Analyse**

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