Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Spectral trajectories,duality and inductive-projective limits of Hilbert spaces
Stochastic approximation properties in Banach spaces
We show that a Banach space X has the stochastic approximation property iff it has the stochasic basis property, and these properties are equivalent to the approximation property if X has nontrivial type. If for every Radon probability on X, there is an operator from an space into X whose range has probability one, then X is a quotient of an space. This extends a theorem of Sato’s which dealt with the case p = 2. In any infinite-dimensional Banach space X there is a compact set K so that for...
Stochastic Basis in Fréchet Space.
Structure of measures on topological spaces.
The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis, and...
Substable and pseudo-isotropic processes. Connections with the geometry of subspaces of [Book]
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions