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Question: Dirac and convolution

Question:Dirac and convolution

lemelinm 1535 Maple
November 04 2008
0

HI all,

I know that :

alias(delta=Dirac):

`δ*g` = int(delta(x)*g(t-x), x = 0 .. t) and int(delta(x)*g(t-x), x = 0 .. t) = g(t);

 

But look what happen.  Can someone justify this behavior

> f := t -> exp(t)

                              f := t -> exp(t)
> `δ*g` = int(delta(x)*f(t-x), x = 0 .. t);

                                      /       1\       
                        `δ*g` = |H(t) - -| exp(t)
                                      \       2/     

Mario

 

 
 

 
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