Let $M = (\mathbb{R}^N, \mathcal{L}, \ell)$ be a D1744: Lebesgue measure space such that
| (i) | $f : \mathbb{R}^N \to \mathbb{C}$ is an D1921: Absolutely integrable function on $M$ |
Then
\begin{equation}
\lim_{|\xi| \to \infty} \mathfrak{F}_f(\xi)
= 0
\end{equation}