Find the inverse transform of(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\frac{\sin{a\omega}}{\omega}

[/tex]

I know the step function has a transform of this form, so I as able to find the inverse transform by assuming it was some step function and then looked for the right constants.

However, I would like to also know how to do it by the definition:

[tex]

f(x) = \frac{1}{2\pi} \lim{\int{\overline{f}(\omega)e^{-i\omega x} d\omega}}

[/tex]

Where the limit is L--> infinity and the integration limits are -L to +L.

I think this must be done by contour integration? Can someone show me how to setup the contour integral?

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# Homework Help: Another Fourier Inversion Problem

Can you offer guidance or do you also need help?

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