For the pressure diffusion with constant diffusion coefficients and homogeneous boundary conditions the pressure response  in one well to a complex flowrate history  in the same well honours the convolution equation:

p(t) = p_0 + \int_0^t p_u(t-\tau) \, dq(\tau)

In case a well is interfering with the offset wells the pressure in a given well   may respond to the offset wells  and the multi-well form of convolutions is going to be:

p_n(t) = p_{n, 0} + \sum_{m=1}^N \int_0^t p_{u,nm}(t-\tau) \, dq_m(\tau)