@article{Kulik_2002, title={Malliavin Calculus for Functionals with Generalized Derivatives and Some Applications to Stable Processes}, volume={54}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4057}, abstractNote={We introduce the notion of a generalized derivative of a functional on a probability space with respect to some formal differentiation. We establish a sufficient condition for the existence of the distribution density of a functional in terms of its generalized derivative. This result is used for the proof of the smoothness of the distribution of the local time of a stable process.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={KulikA. M.}, year={2002}, month={Feb.}, pages={216-226} }