@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",

}