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Re: Fourier Transform

• To: mathgroup at smc.vnet.net
• Subject: [mg124252] Re: Fourier Transform
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Sat, 14 Jan 2012 17:11:48 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

On 1/14/12 at 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  )

Using

In[2]:= $Version

Out[2]= 8.0 for Mac OS X x86 (64-bit) (October 5, 2011)

I don't have any problem with this when I replace abs with Abs.
If you use abs instead of Abs then it should not be surprising
Mathematica has difficulty since abs is not defined.