Convolution and a specific function

Littlepig
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Hi there.

We know that Convolve[f,g,x,y] = f[y] if g = diracdelta. My question is, what should be g so that Convolve[f,g,x,y] = f[y1] where y1 is a parameter of the g function. I.e. Is there any function g such that, when convolved with another f, gives the evaluation of f on a given point?
 
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Yep, simply DiracDelta[x-y1] does the deal.
 
Can you make your statement a bit more clear. how are you defining the convolution?

Littlepig said:
Hi there.

We know that Convolve[f,g,x,y] = f[y] if g = diracdelta. My question is, what should be g so that Convolve[f,g,x,y] = f[y1] where y1 is a parameter of the g function. I.e. Is there any function g such that, when convolved with another f, gives the evaluation of f on a given point?
 

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