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Re: Fourier Transform

• To: mathgroup at smc.vnet.net
• Subject: [mg124260] Re: Fourier Transform
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sat, 14 Jan 2012 17:14:34 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201201140756.CAA01348@smc.vnet.net>

$Version

"8.0 for Mac OS X x86 (64-bit) (October 5, 2011)"

FourierTransform[HeavisideTheta[a - Abs[t]], t, w, Assumptions -> a > 0] //
  ExpToTrig // Simplify

(Sqrt[2/Pi]*Sin[a*w])/w

Note that Abs must start with a capital letter


Bob Hanlon

On Sat, Jan 14, 2012 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  )
>



--
Bob Hanlon

• References:
  • Fourier Transform
    • From: jstorch@earthlink.net