Fourier transform (source code)

= Fourier transform
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{title2=$\mathcal F$}
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= Fourier transformation
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For $f\in L^1(\mathbb R^n)$, the angular-frequency Fourier transform is
$$
\widehat f(\xi)
=\int_{\mathbb R^n}f(x)e^{-ix\cdot\xi}\,dx.
$$