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Science Forum Index » Math - Symbolic Forum » Is it a bug ?
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Message |
| philippe |
 Posted: Sat Oct 21, 2006 10:18 am |
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Guest
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Hello,
I use Mathematica 5.2 trial version, I do :
I want to define the Fourier Transform as :
F(f(x),x,t)=integral(f(x)*exp(-i*t*x),x,-infinity,+infinity), so I do :
SetOptions[FourierTransform, FourierParameters -> {1, -1}]
I want to calculate :
FourierTransform[UnitStep[x]*Exp[-x],x,t]
Mathematica gives :
-I
------
-I + t
But UnitStep = (1+Sign)/2, and
(FourierTransform[Exp[-x],x,t]+FourierTransform[Sign[x]*Exp[-x],x,t])/2
gives :
-I
------ + Pi DiracDelta[-I + t]
-I + t
The results are not equal ...
Where is the error ...
Thanks |
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| philippe |
| Posted: Mon Oct 30, 2006 9:23 am |
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Guest
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| Ok it's true almost everywhere ... but if I compute the inverse Fourier transform, it is true nowhere ... |
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