Rotations and Tangent Processes on Wiener Space
M. Zakai
Abstract
The paper considers (a) Representations of measure preserving transformations (``rotations'') on Wiener space, and (b) The stochastic calculus of variations induced by parameterized rotations \Tθw, 0 θ \: ``Directional derivatives'' (dF(Tθw)/d θ)θ=0, ``vector fields'' or ``tangent processes'' (dTθw /dθ)θ=0 and flows of rotations.
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