Spaces of differential forms with stochastic complex-valued coefficients

This article investigates the construction of spaces of differential forms with coefficients which are stochastic complex-valued K-processes. A complete probability space and complex-valued random variables on measurable subsets of this space are considered, and continuous random complex-valued K-processes are also introduced. Next, we construct spaces of differential forms with coefficients in the form of such stochastic complex-valued K-processes.