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Apparent error integrating product of DiracDelta's

• To: mathgroup at smc.vnet.net
• Subject: [mg91930] Apparent error integrating product of DiracDelta's
• From: Michael Mandelberg <mmandelberg at comcast.net>
• Date: Sat, 13 Sep 2008 05:54:36 -0400 (EDT)

How do I get:

Integrate[DiracDelta[z- x]   DiracDelta[z- y], {z-Infinity, Infinity}]

to give DiracDelta[x-y] as the result?  Currently it gives 0.  I have
all three variable assumed to be Reals.  I am using 6.0.0.

Thanks,
Michael Mandelberg