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