[en] It is shown that the continuity equation in stochastic phase space is satisfied if the configuration space representation Xi(x) of the resolution generator is real. It is also shown that the probability density and current merge into the standard ones if Xisup((n))(x) is a sequence of real resolution generators which converges to the Dirac Δ-function for n→infinity. A relation between the current on GAMMAsub(Xi) and the stochastic currnet in configuration representation is also derived. (author)