Let $M = (\mathbb{R}^D, \mathcal{B}(\mathbb{R}^D))$ be a D2763: Euclidean real Borel measurable space such that

(i)	$\mu, \nu : \mathcal{B}(\mathbb{R}^D) \to [0, 1]$ are each a D198: Probability measure on $M$
(ii)	$\mathfrak{F}_{\mu}$ and $\mathfrak{F}_{\nu}$ are each the D4131: Finite unsigned euclidean real Borel measure Fourier transform of $\mu$ and $\nu$, respectively

Then \begin{equation} \mathfrak{F}_{\mu} = \mathfrak{F}_{\nu} \quad \iff \quad \mu = \nu \end{equation}