Convolution and a specific function

[Littlepig]

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?

[Raito]

Yep, simply DiracDelta[x-y1] does the deal.

[brydustin]

Can you make your statement a bit more clear. how are you defining the convolution?

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?