Definition 12.4.7 (Inverse Fourier Transform).label Let $f\in L^{1}(\R^{n})$ then define the inverse Fourier transform of $f$

\begin{align*}\check{f}=\integral{\R^n}{}e^{2\pi i x\cd \xi}f(\xi)d\xi=\ha{f}(-x)\end{align*}

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