Non-commutative stochastic distributions and applications to linear   systems theory
  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. A special inequality which holds in this space allows to characterize its invertible elements and to develop an appropriate framework of non-commutative stochastic linear systems. 
Daniel Alpay and Guy Salomon
math.FA math.PR