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/