<abstract xmlns="http://www.w3.org/1999/xhtml"> For 0 &lt; q &lt; 1 and 0 &lt; α &lt; 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.</abstract>

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.

The q-Gamma White Noise

Department of Mathematics Al-Qunfudah Center for Scientific Research Al-Qunfudhah University College Umm Al-Qura University KSA

Department of Mathematics Rada’a College of Education and Science Albida University Albida,

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"The q-Gamma White Noise"}

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...

The q-Gamma White Noise

Published Online: Jan 20, 2017

Page range: 81 - 90

Received: Aug 26, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0022

Keywords
q-Gamma distribution, q-Laguerre polynomials, q-Gamma noise space, 1-mode type interacting Fock space

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The q-Gamma White Noise

Published Online: Jan 20, 2017

Page range: 81 - 90

Received: Aug 26, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0022

Keywordsq-Gamma distribution, q-Laguerre polynomials, q-Gamma noise space, 1-mode type interacting Fock space

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
q-Gamma distribution, q-Laguerre polynomials, q-Gamma noise space, 1-mode type interacting Fock space