Re: Fourier Transforms

*To*: mathgroup at smc.vnet.net*Subject*: [mg64789] Re: [mg64762] Fourier Transforms*From*: Sseziwa Mukasa <mukasa at jeol.com>*Date*: Thu, 2 Mar 2006 19:28:19 -0500 (EST)*References*: <200603021148.GAA05247@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

On Mar 2, 2006, at 6:48 AM, Ben C wrote: > On the first of March I posted an appeal for help with some Fourier > transforms. Since then a couple of people have suggested I post the > actual transforms. I am trying to inverse Fourier transform the > functions > > p / (sqrt(1+p^2 + sqrt(1+p^2 )) and 1/(sqrt(1+p^2 - sqrt(1+p^2 )) > > from p to x space. > > Any advice would again be extremely gratefully received, You need to convert your expressions to proper Mathematica syntax, sqrt(x) is Sqrt[x] in Mathematica. Since you're looking for a symbolic solution use InverseFourierTransform like so: In[3]:= InverseFourierTransform[p/Sqrt[1+p^2+Sqrt[1+p^2]],p,x] InverseFourierTransform[1/Sqrt[1+p^2-Sqrt[1+p^2]],p,x] Out[3]= 0 Out[4]= InverseFourierTransform[1/Sqrt[1+p^2-Sqrt[1+p^2]], p, x] The second expression returns itself because the integral cannot be performed. Perhaps your expression is only valid for p > 0? You also need to specify the convention for the Fourier transform you are using, see the Help Browser for more information. Regards, Ssezi

**Follow-Ups**:**Re: Re: Fourier Transforms***From:*bsyehuda@gmail.com

**Re: Re: Fourier Transforms***From:*Pratik Desai <pdesai1@umbc.edu>

**References**:**Fourier Transforms***From:*"Ben C" <benjamin.chamberlain@seh.ox.ac.uk>