On stochastic differential operators on the extended Fock space and its riggings

In this talk we introduce and study some special operators on the so-called extended Fock space and its riggings. Using generalized Wiener-Ito-Segal isomorphisms one can interpret these operators as stochastic differential operators for a wide class of probability measures. In particular, it is possible to consider so-caled Meixner analysis and coloured noise analysis.