FourierTransform[] of Mathematica 4.0

Dear All,

I am running Mathematica 4.0.

Recently, I tryed the following:

>>in[1]= f[x_]:= const
>>in[2]= FourierTransform[f[x],x,k]
>>out[2]= const Sqrt[2 Pi] DiracDelta[k]

but

>>in[3]= f[x_]:= const + Exp[ - x^2 ]
>>in[4]= FourierTransform[f[x],x,k]

I got the following output

>>out[4]= Exp[- k^2 / 2 ] / Sqrt[2]

Am I supposed to get
"const Sqrt[2 Pi] DiracDelta[k] + Exp[- k^2 / 2 ] / Sqrt[2]"
??

Is this a bug or something? How about other versions of
Mathematica? Thanks!

HYC

.

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