The q-white noise is studied as the time derivative of the q-Brownian motion. As an application of the q-white noise, a non-adapted (non-commutative) stochastic integral with respect to the q-Brownian motion is constructed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-19,
author = {Un Cig Ji and Byeong Su Min},
title = {q-White noise and non-adapted stochastic integral},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {267-275},
zbl = {1106.60057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-19}
}
Un Cig Ji; Byeong Su Min. q-White noise and non-adapted stochastic integral. Banach Center Publications, Tome 72 (2006) pp. 267-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-19/