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Fourier transform
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=== History === {{Main|Fourier analysis#History|Fourier series#History}} In 1822, Fourier claimed (see {{Slink|Joseph Fourier|The Analytic Theory of Heat}}) that any function, whether continuous or discontinuous, can be expanded into a series of sines.<ref>{{harvnb|Fourier|1822}}</ref> That important work was corrected and expanded upon by others to provide the foundation for the various forms of the Fourier transform used since.
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