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MathGroup Archive 2000

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Did I something wrong?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg24391] Did I something wrong?
  • From: Markus Schick <markus.schick at eplus-online.de>
  • Date: Wed, 12 Jul 2000 23:13:32 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

In[1]:=
FourierCosTransform[UnitStep[1 - x^2 - y^2], {x, y}, {u, v}]

Out[1]=
{{Sqrt[2 Pi] DiracDelta[u] UnitStep[x] UnitStep[1 - x^2 - y^2],
  Sqrt[2 Pi] DiracDelta[v] UnitStep[x] UnitStep[1 - x^2 - y^2]},
 {Sqrt[2 Pi] DiracDelta[u] UnitStep[y] UnitStep[1 - x^2 - y^2],
  Sqrt[2 Pi] DiracDelta[v] UnitStep[y] UnitStep[1 - x^2 - y^2]}}

Why haven't x ynd y vanished?
This Result doesn't make much sense to me.
I had expected something like:

Out[1]=
BesselJ[1,Sqrt[u^2+v^2]]/(2 Sqrt[u^2+v^2])

I use Mathematica 4.0 for Students on a Powermac

Thank you for looking at it.

Regards
Markus



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