In[2]:= FourierTransform[1, t, [Omega]]
Out[2]= Sqrt[2 \[Pi]] DiracDelta[\[Omega]]
In[5]:= 1/Sqrt[2 \[Pi]]
Integrate[Exp[I \[Omega] t], {t, -\[Infinity], \[Infinity]}]
During evaluation of In[5]:= Integrate::idiv: Integral of E^(I t \[Omega]) does not converge on {-\[Infinity],\[Infinity]}.
