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Question: 4D Fourier transform

Question:4D Fourier transform

John Fredsted 2243 Maple 17
fourier-transform 4-dimensional minkowski
July 04 2016
0

As far as I can tell from the help pages, Maple 17, which I am using, can perform only one-dimensional Fourier transformations. Has that changed in latter versions?

I ask because I would like to find the 4D Fourier transformation of Heaviside(t^2 - x^2 - y^2 - z^2), the argument being the Minkowski line element. I have made quite some attempts with pen and paper, but the results are not stable. One calculational strategy of mine seems to depend on the order of integration: alongside some other part, a 4D Dirac delta function either appears or not. Another strategy produces an altogther differently looking expression.

It would therefore be nice to have some computational guidance.
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