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Fourier Transform--Delta Function

The Fourier Transform of the Delta Function is given by

\begin{displaymath}
{\mathcal F}[\delta(x-x_0)]=\int_{-\infty}^\infty \delta(x-x_0)e^{-2\pi ikx}\,dx = e^{-2\pi ikx_0}.
\end{displaymath}

See also Delta Function




© 1996-9 Eric W. Weisstein
1999-05-26