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Shifted & scaled Heaviside and FT

• To: mathgroup at smc.vnet.net
• Subject: [mg122570] Shifted & scaled Heaviside and FT
• From: Anael <anael.guilmo at gmail.com>
• Date: Tue, 1 Nov 2011 06:58:22 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi all,

I am having trouble with computing the Fourier Transform of a shifted
AND scaled Heaviside function.

Basically I can get:
FourierTransform[HeavisidePi[(x + a)], x, \[Xi]] =
(E^(-I a \[Xi]) Sinc[\[Xi]/2])/Sqrt[2 \[Pi]]

or
FourierTransform[HeavisidePi[(x/b)], x, \[Xi]] =
(Abs[b] Sinc[(b \[Xi])/2])/Sqrt[2 \[Pi]]

but when I combine [(x + a)/ b] i get nothing!
Any clue??

Thank you!