University of Hertfordshire

By the same authors

Multiparameter Quantum Stochastic Processes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Original languageEnglish
Title of host publicationQuantum Probability and Related Topics
Subtitle of host publicationProceedings of the 30th Conference (QP-PQ: Quantum Probability & White Noise Analysis)
EditorsRolando Rebolledo, Miguel Orsz
PublisherWorld Scientific Publishing
Pages323-329
Number of pages6
Volume27
ISBN (Electronic)978-981-4338-73-8
ISBN (Print)978-981-4338-73-5
Publication statusPublished - Jan 2011

Publication series

NameQuantum Probability and White Noise Analysis
PublisherWorld Scientific
Volume27

Abstract

We 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.

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