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Folding Deltas


Can anyone help to verify in Mathematica the expression given by Rota
(http://xoomer.virgilio.it/maurocer/Text07.htm):

Convolution ( Sum of DiracDeltaFct ** Sum of DiracDeltaFct) == Sum
(DiracDeltaFct + Values).

I tied

Integrate[DiracDelta[t]  DiracDelta[t - 2] , {t, -3, 3} ]
which does not evaluate;
but

Integrate[DiracDelta[t]  DiracDelta[t - 2] , {t, -3, 1} ] +
Integrate[DiracDelta[t]  DiracDelta[t - 2] , {t, 1, 3} ] == 0
True

( I use ver 5.1 with W2k)


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