Solve a function consist of two functions in a sigma summation

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I'm still new in here. I have been struggling to solve an equation. The equation is like:

f(T)= $\sum_{i=0}^t [g(T-i)*d(i)]$

It is an equation describing the relationship between f(T), g(T) and d(t). I'm trying to form an equation for g(T), in terms of f(T) and d(t). I tried to convert the sigma notation into integral so that I could differentiate both sides. However, I think it is impossible as both of them are different functions and they are not constant value. Could anyone please help me on this?