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The function $f(t)$ has the Fourier Transform $g(\omega)$. The Fourier Transform

$f f(t) g(t)\left(=\int_{-\infty}^{\infty} g(t) e^{-j \omega t} d t\right)$ is

  1. $\frac{1}{2 \pi} f(\omega)$
  2. $\frac{1}{2 \pi} f(-\omega)$
  3. $2 \pi f(-\omega)$
  4. None of the above
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