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MathGroup Archive 1999

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Question on multiple variables FourierTransformation.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18250] Question on multiple variables FourierTransformation.
  • From: Weilou Gao <wxg124 at psu.edu>
  • Date: Thu, 24 Jun 1999 14:24:28 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Collegue,

I carry out Fourier Tranformation of second derivative of a function.

When the function is defined as u[x],
     FourierTransform[D[u[x],{x,2}],x,k]    ---->  -k^2
FourierTransform[u[x], x, k]

But if I introduce another variable and write the function as u[x,t],
carry out same transformation,

      FourierTransform[D[u[x,t],{x,2}],x,k]    gives me only
FourierTransform[u(2, 0)(x, t), x, k]    which is supposed to be
-k^2 FourierTransform[u[x,t], x, k]

I am wondering if Mathematica always defautly considers the variables
dependent so it cannt work out the Fourier transform with mutliple
variables.

Thanks for your help.

Weilou Gao

*******************************************
ESM Department
The PennStateUniv. (Univ. Park)
Tel: 1-814-863-2737(O)
Email: wxg124 at psu.edu
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