Integration by Parts and Absolute Continuity of Probability Laws // Finite Dimensional Malliavin Calculus // The Basic Operators of Malliavin Calculus // Representation of Wiener Functionals // _x0003_Criteria for Absolute Continuity // Stochastic Partial Differential // Equations Driven by Spatially Homogeneous Gaussian Noise // Malliavin Regularity of Solutions of SPDE's // Analysis of the Malliavin Matrix of Solutions of the SPDE's // Definitions of spaces