Rotations and Tangent Processes on Wiener Space

The paper considers (a) Representations of measure preserving transformations (rotations'') on Wiener space, and (b) The stochastic calculus of variations induced by parameterized rotations $\{T_\theta w, 0 \le \theta \le \eps\}$: Directional derivatives’’ $(dF(T_{\theta }w)\mathrm{/}d\theta {)}_{\theta =0}$, vector fields'' or tangent processes’’ $(d{T}_{\theta }w\mathrm{/}d\theta {)}_{\theta =0}$ and flows of rotations.