Non-commutative stochastic distributions and applications to linear systems theory
Functional Analysis
2013-02-25 v2 Probability
Abstract
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.
Cite
@article{arxiv.1209.4580,
title = {Non-commutative stochastic distributions and applications to linear systems theory},
author = {Daniel Alpay and Guy Salomon},
journal= {arXiv preprint arXiv:1209.4580},
year = {2013}
}
Comments
Corrected version, to appear in Stochastic Processes and Applications