Tatra Mountains Mathematical Publications
Issue title: Applied Mathematics ’16
Published Online: Jan 20, 2017
Page range: 81 - 90
Received: Aug 26, 2016
DOI: https://doi.org/10.1515/tmmp-2016-0022
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
For 0 < q < 1 and 0 < α < 1, we construct the infinite dimensional q-Gamma white noise measure γα,q by using the Bochner-Minlos theorem. Then we give the chaos decomposition of an L2 space with respect to the measure γα,q via an isomorphism with the 1-mode type interacting Fock space associated to the q-Gamma measure.