# Question about the Dirac Delta Function

xoxomae

## Homework Statement

Find the Fourier spectrum of the following equation

## Homework Equations

##F(\omega)=\pi[\delta(\omega - \omega _0)+\delta(\omega +\omega_0)]##

## The Attempt at a Solution

Would the Fourier spectrum just be two spikes at ##+\omega _0## and ##-\omega _0## which go up to infinity?

## Answers and Replies

Homework Helper
Yes. My guess is you are supposed to find the function that has such a Fourier transform ?
When you carry out the integration to find that functionl the ##\delta## functions will behave decently -- check the definition of a delta function

Staff Emeritus