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.
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.
| Original language | English |
|---|---|
| Title of host publication | Quantum Probability and Related Topics |
| Subtitle of host publication | Proceedings of the 30th Conference (QP-PQ: Quantum Probability & White Noise Analysis) |
| Editors | Rolando Rebolledo, Miguel Orsz |
| Publisher | World Scientific Publishing |
| Pages | 323-329 |
| Number of pages | 6 |
| Volume | 27 |
| ISBN (Electronic) | 978-981-4338-73-8 |
| ISBN (Print) | 978-981-4338-73-5 |
| Publication status | Published - Jan 2011 |
Publication series
| Name | Quantum Probability and White Noise Analysis |
|---|---|
| Publisher | World Scientific |
| Volume | 27 |