# fourier transform of the bessel function

• September 3rd 2009, 06:50 PM
Jolie
fourier transform of the bessel function
hey, everybody!

Does anyone know how to calculate the fourier transform of

$\frac{J_1(\mid{x}\mid)}{\mid{x}\mid}$

where http://www.mathhelpforum.com/math-he...6cf6c905-1.gif is the first order Bessel function of the first kind.

Any help would be very appreciated !
• September 4th 2009, 12:18 AM
Jolie
may be a easier one
To discrease the difficuty:

who knows how to compute :

$\int_{0}^{\infty}{J_1(x)}J_0({w}{x})\exp(-jx^2)dx$