Yes, this is a defect.

I created in fact a Issue this week for it:
https://code.google.com/p/sympy/issues/detail?id=4079


On Wednesday, October 30, 2013 12:03:32 PM UTC+1, Harsh Gupta wrote:
>
> >>> from sympy.integrals import transforms
> >>> FT = fourier_transform
> >>> from sympy.abc import x, k
> >>> FT(1,x,k)
> 0
>
> Sympy evaluates the fourier transform of 1 as 0 though it is 
> dirac_delta(k).
> Similarly sympy evaluates the fourier transform of powers of x as 0 as 
> well.
>
> http://mathworld.wolfram.com/FourierTransform1.html
>
> This might be arising because fourier transform of a 1 is not evaluated by 
> direct integration
> rather it is evaluated using a form of the generalized unit function. 
>
>

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