Mathematica 9 is now available
Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2012

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Fourier Transform

  • To: mathgroup at smc.vnet.net
  • Subject: [mg124247] Re: Fourier Transform
  • From: "Nasser M. Abbasi" <nma at 12000.org>
  • Date: Sat, 14 Jan 2012 17:10:04 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jercl1$1d8$1@smc.vnet.net>
  • Reply-to: nma at 12000.org

On 1/14/2012 1:59 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  )
>

Try Abs instead of abs:

-----------------
FourierTransform[HeavisideTheta[a - Abs[t]], t, w,Assumptions -> a > 0];
Simplify[ComplexExpand[%]]
----------------

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

--Nasser



  • Prev by Date: Re: Matrix typesetting question
  • Next by Date: Re: Fourier Transform
  • Previous by thread: Re: Fourier Transform
  • Next by thread: Re: Fourier Transform