Fourier analysis


noun Physics, Mathematics.

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

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Origin of Fourier analysis

First recorded in 1925–30; named after J.B.J. Fourier
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for Fourier analysis

Fourier analysis
/ (ˈfʊərɪˌeɪ) /

noun

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

Word Origin for Fourier analysis

C19: named after Baron Jean Baptiste Joseph Fourier (1768–1830), French mathematician, Egyptologist, and administrator
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for Fourier analysis

Fourier analysis

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.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.