- #1

usn7564

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## Homework Statement

Doing some exam revision and one of the questions from an old exam has me stuck at the last step, simply need to inverse the following

[tex]F( \omega ) = \frac{e^{i \omega}}{1+\omega ^2} [/tex]

We're allowed to use a table on the exams but I cannot find anything quite resembling what I have (nor in any way that I can manipulate it). The inverse formula lead me to an integral that seems to be well over my head or the content of this course.

Is there some specific method to utilize when I have a product of two functions whose Fourier inverse I know? The exponential or denominator on its own wouldn't be a problem.

Thanks