@inproceedings{4b111cd65a954ddd9b42b373fb48afd4,
title = "The Ito-Clifford Wong-Zakai Integrals and Martingale Representation",
abstract = "Classical stochastic integration is based upon a probability space involving a filtration of sigma-algebras. This construction lends itself to non-commutative quantum analogues based for example, on a Hilbert space, a filtration of Von Neumann algebras and gage. We recall a non-commutative construction for the two parameter case, these being integrals in the plane, resulting in type one and type two stochastic integrals which are orthogonal, centred L2 - martingales, obeying isometry properties and develop the construction to obtain an Ito-Clifford Wong-Zakai martingalerepresentation.",
author = "William Spring",
year = "2007",
language = "English",
volume = "889",
series = "Foundations of Probability and Physics",
publisher = "American Institute of Physics (AIP)",
pages = "407--411",
editor = "Guillaume Adenier and Fuchs, {Christopher A.} and Khrennikov, {Andrei Yu }",
booktitle = "Foundations of Probability and Physics - 4",
address = "United States",
}