complex-valued random variables, complex-valued stochastic processes, stochastic K-processes, differential forms
Abstract
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.
Author Biographies
Minzilya Almasovna Sagadeeva, South Ural State University, Chelyabinsk
Cand. Sc. (Physics and Mathematics), Associate Professor, Mathematical and Computer Modelling Department
Dmitriy Evgen'evich Shafranov, South Ural State University, Chelyabinsk
Cand. Sc. (Physics and Mathematics), Associate Professor, Mathematical and Computer Modelling Department