Quasi-Free Stochastic Integrals and Martingale Representation

Spring, W. J. (2008) Quasi-Free Stochastic Integrals and Martingale Representation. In: Proceedings of the 28th Conference on Quantum Probability and Related Topics :. World Scientific Publishing, MEX, pp. 236-241. ISBN 978-981-283-526-0
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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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