Fourier Transform of Bessel Function of the 1st Kind

[Airsteve0]

I would be grateful if someone could help me out with the problem that I have attached. I believe I have successfully answered part (a) of the question but am completely unsure of how to approach part (b). I realize it must have to do with specific properties of the delta function but I am lost. Any assistance would be greatly appreciated, thanks.

 

[wnvl]

You can find the solution here

http://math.stackexchange.com/questions/78316/fourier-transform-of-bessel-functions

 

[Airsteve0]

thank you very much