An analogue of Wiener measure and its applications

In this note, we establish a translation theorem in an analogue of Wiener space (C[0, t], omega(phi)) and find formulas for the conditional omega(phi)-integral given by the condition X(x) = (x(t(0)), x(t(1)),..., x(t(n))) which is the generalization of Chang and Chang's results in 1984. Moreover, we prove a translation theorem for the conditional omega(phi)-integral.