Solution
= Solution
For $f\in L^1(\mathbb R^n)$, use the angular-frequency convention
$$
\boxed{\widehat f(\xi)=
\int_{\mathbb R^n}f(x)e^{-ix\mathbin\cdot\xi}\,dx.}
$$
This is the <Fourier transform> on $L^1(\mathbb R^n)$.
= Solution
For $f\in L^1(\mathbb R^n)$, use the angular-frequency convention
$$
\boxed{\widehat f(\xi)=
\int_{\mathbb R^n}f(x)e^{-ix\mathbin\cdot\xi}\,dx.}
$$
This is the <Fourier transform> on $L^1(\mathbb R^n)$.