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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.

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" [Broken]

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?

## 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" [Broken]

## 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?

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