I have made a mistake in OP, I ment that H(s) is the impulse reponse in s, not the unti response!
So, one can say that because there is only 1 pole in s = 0, the H(s) is 1/s ?
U(s) is also 1/s,
You say that convolution is multiplication in freq domein, do you mean S(s) = H(s)*U(s) ?
So that...