In this paper, we introduce a non-commutative space of stochastic distributions, which contains the non-commutative white noise space, and forms, together with a natural multiplication, a topological algebra. Special inequalities which hold in this space allow to characterize its invertible elements and to develop an appropriate framework of non-commutative stochastic linear systems.
- Convolution algebra
- Non-commutative stochastic distributions
- Non-commutative white noise space
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Applied Mathematics