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dc.contributor.authorSpring, William Joseph
dc.contributor.editorRebolledo, Rolando
dc.contributor.editorOrsz, Miguel
dc.identifier.citationSpring , W J 2011 , Multiparameter Quantum Stochastic Processes . in R Rebolledo & M Orsz (eds) , Quantum Probability and Related Topics : Proceedings of the 30th Conference (QP-PQ: Quantum Probability & White Noise Analysis) . vol. 27 , Quantum Probability and White Noise Analysis , vol. 27 , World Scientific Publishing , pp. 323-329 .
dc.identifier.otherPURE: 1407247
dc.identifier.otherPURE UUID: 71600a0c-0a63-4d6b-a046-a5502ea13de8
dc.identifier.otherORCID: /0000-0002-2251-2838/work/60314468
dc.description.abstractWe extend the non-commutative constructions outlined in Ref.1–3 to the general n parameter case, these being integrals over an n - dimensional parameter space, employing martingales as integrand. We extend previous results in type one,1,4 type two1,5 stochastic integrals and introduce new integrals for the Clifford sheet. These stochastic integrals are orthogonal, centred L2 - martingales, obeying isometry properties. We develop the construction to consider general martingale representations for the Clifford sheet.en
dc.publisherWorld Scientific Publishing
dc.relation.ispartofQuantum Probability and Related Topics
dc.relation.ispartofseriesQuantum Probability and White Noise Analysis
dc.titleMultiparameter Quantum Stochastic Processesen
dc.contributor.institutionSchool of Computer Science
dc.contributor.institutionScience & Technology Research Institute

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