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Re: Fourier Transform

• To: mathgroup at smc.vnet.net
• Subject: [mg124251] Re: Fourier Transform
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Sat, 14 Jan 2012 17:11:27 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201201140756.CAA01348@smc.vnet.net>

The result for
In[3]:= FullSimplify[FourierTransform[HeavisideTheta[a - Abs[t]], t, w, Assumptions -> a > 0]]
_is_
Out[3]= (Sqrt[2/Pi]*Sin[a*w])/w
as it should be. (... Abs[t] ..., not abs[t].)
MATTHIAS BODE
S 17.35775=B0, W 066.14577=B0
2'740 m
AMSL.




> Date: Sat, 14 Jan 2012 02:56:14 -0500
> From: jstorch at earthlink.net
> Subject: Fourier Transform
> To: mathgroup at smc.vnet.net
>
> 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  )
>

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