Fourier shift theorem
= Fourier shift theorem
{c}
For the angular-frequency convention,
$$
\mathcal F[e^{iax}f(x)](k)=\widehat f(k-a),
\qquad
\mathcal F[f(x-a)](k)=e^{-iak}\widehat f(k).
$$
= Fourier shift theorem
{c}
For the angular-frequency convention,
$$
\mathcal F[e^{iax}f(x)](k)=\widehat f(k-a),
\qquad
\mathcal F[f(x-a)](k)=e^{-iak}\widehat f(k).
$$