# Fourier transform of besselj function

• April 9th 2011, 11:02 AM
Okyanus
Fourier transform of besselj function
Hi all,

Can anybody help me to find fourier transform of zero indexed besselj function with respect to x? The besselj parameter is a*sqrt(b^2+x^2).

Thanks a lot.
• April 10th 2011, 12:30 AM
ojones
Start with the integral representation for $J_0(x)$. Then short-cut the calculation using distribution theory; in particular the dirac delta function.