Quasi-Free Stochastic Integrals and Martingale Representation

Spring, W. J. (2008) Quasi-Free Stochastic Integrals and Martingale Representation. In: Proceedings of the 28th Conference Proceedings of the 28th Conference Quantum Probability and Related Topics, 2007-09-02 - 2007-09-08.
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We discuss the construction of quantum stochastic integrals over the positive plane. Non-commutative representations for the quasi-free CAR and CCR settings are presented extending results obtained previously for martingales over the two parameter plane.

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