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Re: Fourier Transform


ARe you using Mathematica 8 (8.0.4) and did you forget to type 'Abs', 
with an upper-case letter?

I get:

   FourierTransform[HeavisideTheta[a - Abs[t]], t, w,
   Assumptions -> a > 0] // InputForm
((-I)*(-1 + E^((2*I)*a*w)))/(E^(I*a*w)*Sqrt[2*Pi]*w)


On 1/14/12 2:56 AM, jstorch at earthlink.net wrote:
> Mathematica hangs when trying to evaluate the simple Fourier Transform
> of H(a-|t|).
>
> FourierTransform[HeavisideTheta[a-abs[t]],t,w,Assumptions->a>0]
>
> (The answer should be Sqrt(2/Pi) (Sin[w a])/w  )
>

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
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University of Massachusetts                413 545-2859 (W)
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Amherst, MA 01003-9305



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