# 5: Fourier Transform

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Fourier's transform is an integral transform which can simplify investigations for linear differential or integral equations since it transforms a differential operator into an algebraic equation.

Thumbnail: The real and imaginary parts of the Fourier transform of a delayed pulse. The Fourier transform decomposes a function into eigenfunctions for the group of translations. (CC-BY-SA-4.0; Sławomir_Biały).