Dirichlet Forms Methods for Poisson Point Measures and Levy Processes - With Emphasis on the Creation-Annihilation Techniques

A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals.