Is there anyone could help me solve the following equation:
$$\int_0^t \int_0^{t-v_1} \cdots \int_0^{t-\sum_{i=1}^{k-1} v_i} \prod_{j=1}^k f(\sum_{i=1}^{j} v_i) dm(v_k) \cdots dm(v_2)dm(v_1)$$
You may safely assume $f(v), m(v)$ are nice functions here. I am only interested how to solve this kind of integral and what kind of m could enable us to achieve a nice result.