Sufficient Conditions for the Invertibility of Adapted Perturbations of Identity on the Wiener Space

Ali Suleyman Ustunel, Moshe Zakai

Let $(W,H,\mu )$ be the classical Wiener space. Assume that $U=I_W+u$ is an adapted perturbation of identity, i.e., $u:W\to H$ is adapted to the canonical filtration of $W$. We give s…