Analytical three-dimensional Fourier transform

[johnkay]

Hello, I am trying to do some self-studying in Byron & Fuller mathematical methods for classical and quantum physics. I have slightly ran aground on this one task of finding 3d Fourier transforms and I can't find the info in the book itself to free me. Google has neither been very fruitfull.

Homework Statement

It is problem 5.9 in the book and can be seen here (obviously I only need to really 'solve' a.)

http://dl.dropbox.com/u/2507151/screenshot.png"

The Attempt at a Solution

I tried going into spherical coordinates and ended up with a big mess and I was not quite sure what to do there anyway.

Then I wondered if I perhaps could make the problem into some almost one-liner through Gauss or Green's theorem or the like. But I have not been quite successful there either.

any pointers on how this should be done?

 

[vela]

Your first approach sounds right. Show us what you did.