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[tex] \frac{1}{2 \pi}\int_{-\infty}^{\infty}(\int_{-\infty}^{\infty}f(t) e^{-i \omega t}dt) e^{i \omega t}d{\omega} [/tex]

Is there some sort of coordinate transformation that would help me out here? I have no idea how to begin simplifying this. Thanks.