Periodic functions with fourier series

Question

Assignment:

Suppose f(t) and g(t) are 2π periodic functions with Fourier series representations

h(t) = _0^2π∫ ƒ(t-x)g(x)dx

and

g(t) = _k=-∞^∞∑ g_ke^ikt

Find the Fourier series of h(t) = ₀^2π∫ƒ(t-x)g(x)dx.

Please show every step, so that I can understand your response.