ABSTRACT
The stochastic calculus of variations, also known as Malliavin Calculus, provides criteria for the law of Wiener functionals to possess a density. Moreover, it also furnishes appropiate tools to analyze properties of this density. The starting point of the theory, presented in [M], was motivated by the problem of giving a probabilistic proof of Hörmander’s theorem on hypoelliptic operators. As for its applications, the subsequent developments of the theory by Bismut, Kusuoka, Stroock, Watanabe and many others, focuss their attention mainly on stochastic differential equations.
