User talk:72.66.65.214

In the "Definitions via transform" section of this article, it is stated that $$\frac{d^nf(t)}{dt^n} = \mathcal{F}^{-1}\left\{(i \omega)^n\mathcal{F}[f(t)]\right\}$$. However, in the Differentiation section of the Fourier transform article it states that $$\widehat{f^{(n)}}(\xi)=(2\pi i\xi)^n\hat{f}(\xi).$$. I don't see citations next to either of these statements so I don't know where either of these statements come from.

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