I am interested in finding some reference books or papers where the question of conditions for the interchange of summation in multiple series is treated. In other words, under which conditions we can rearrange the order or summation in expressions of the type
$$\sum_{i_1}\sum_{i_2}\cdots\sum_{i_n}a(i_1,i_2,\cdots, i_n),$$ where the indexes $i_j$ are in $\mathbb{N}$ or $\mathbb{Z}$, the coefficients $a(i_1,i_2,\cdots, i_n)$ are complex numbers, and the whole series is not necessarily absolutely convergent.
So far, I have only found explanations applied to double series. Can anyone provide some titles?