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
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ESM Department
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Tel: 1-814-863-2737(O)
Email: wxg124 at psu.edu
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