MathJax test Fourier Transform

Fourier Transform:

$F(\omega)=\int_{-\infty}^{+\infty}f(\tau)e^{-j\omega\tau}d\tau$ $F(\omega)=\mathscr{F}[f(t)]$

Inverse Fourier Transform:

$f(t)=\frac{1}{2\pi}\int_{-\infty}^{+\infty}F(\omega)e^{j\omega t}d\omega$ $f(t)=\mathscr{F}^{-1}[F(\omega)]$

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