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I can not work out a computation i found, involving the convolution of a convolution.

G is a function, as well as ε, and using the notation

G*ε = ∫G(t-tau) dε (the integral being performed between 0 and t)

I want to compute

G*ε*ε

I try

(G*ε)*ε

and end up with

(G*ε)*ε =∫ (∫G(t-tau) dε ) dε2,

the first integral being between 0 and t, and the second between 0 and t - tau2 ,the new mute variable).

In a paper I find a different result, of the type

(G*ε)*ε =∫ ∫G(2t-tau1 - tau2) dε dε2,

I really cann ot get my head around it, any help so appreciated.

Thanks

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# Convolution of a convolution

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