# Fourier transform

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Related to Fourier transform: Fourier series, Laplace transform, Fast Fourier transform, Discrete Fourier transform

## Fourier transform

*n.*

An operation that maps a function to its corresponding Fourier series or to an analogous continuous frequency distribution.

[After Baron Jean Baptiste Joseph

**Fourier**.]American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Fourier transform

*n*

(Mathematics) an integral transform, used in many branches of science, of the form F(

*x*) = [1/√(2π)]∫e^{ixy}f(*y*)d*y*, where the limits of integration are from –∞ to +∞ and the function F is the transform of the function fCollins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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