A non-commutative martingale representation theorem for non-Fock quantum Brownian motion (Q1065458)

In this paper the authors develop a theory of stochastic integration associated with a quantum Brownian motion. This improves in some sense the approach suggested by the first author and \textit{K. R. Parthasarathy} [Commun. Math. Phys. 93, 301-323 (1984; Zbl 0546.60058)]. For the present theory they are able to prove a Kunita-Watanabe type representation theorem for processes which are martingales with respect to the general filtration.