THE WIENER-FEYNMAN STOCHASTIC-PROCESS ON A SUPERSPACE

The theory of stochastic processes with values in a superspace over Banach superalgebras is developed. Stochastic processes are defined as distributions on the space of continuous paths with values in a superspace. Quasi-Gaussian distributions, particularly Gaussian and Feynman distributions and processes on a superspace, are studied. Solutions of the heat equation and the Shroedinger equation on a superspace are represented as probability means.