Function whose Fourier transform is Dirac delta

1. papernuke1

2
Is there a time domain function whose Fourier transform is the Dirac delta with no harmonics? I.e. a single frequency impulse

2. johnqwertyful

391
Couldn't you just take the inverse Fourier transform?

2,001
4. papernuke1

2
Oh! I did that and it's it's a constant function, thanks

5. johnqwertyful

391
Not really. The inverse Fourier transform of the delta function is 1. The Fourier transform of 1 is the delta function. Everything is fine. :)

391
Yup!