The q-Gamma White Noise
Othman, Hakeem Ahmed
Tatra Mountains Mathematical Publications, Tome 65 (2016), / Harvested from Mathematical Institute
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For $0<q<1$ and $\alpha < 0$, we construct the infinite dimensional $q$-Gamma white noise measure $\gamma_{\alpha, q}$ by using Bockner-Minlos theorem. Then we give the chaos decomposition of an $L^{2}$ space with respect to the measure $\gamma_{\alpha, q}$ via an isomorphism with 1-mode type interacting Fock space associated to the q -Gamma measure.

Publié le : 2016-01-01
DOI : https://doi.org/10.2478/tatra.v66i0.414 
@article{414,
     title = {The q-Gamma White Noise},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {65},
     year = {2016},
     doi = {10.2478/tatra.v66i0.414},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/414}
}

Othman, Hakeem Ahmed. The q-Gamma White Noise. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v66i0.414. http://gdmltest.u-ga.fr/item/414/