The q-Gamma White Noise

Hakeem A. Othman

doi:10.1515/tmmp-2016-0022

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The q-Gamma White Noise

Tatra Mountains Mathematical Publications

Volume 66 (2016): Issue 1 (June 2016)

By: Hakeem A. Othman

Open Access

|Jan 2017

Abstract

For 0 < q < 1 and 0 < α < 1, we construct the infinite dimensional q-Gamma white noise measure γ_α,q by using the Bochner-Minlos theorem. Then we give the chaos decomposition of an L² space with respect to the measure γ_α,q via an isomorphism with the 1-mode type interacting Fock space associated to the q-Gamma measure.

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2016-0022 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 81 - 90

Submitted on: Aug 26, 2016

Published on: Jan 20, 2017

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

q-Gamma distribution,

q-Laguerre polynomials,

q-Gamma noise space,

1-mode type interacting Fock space

Related subjects:

Mathematics,

General mathematics

© 2017 Hakeem A. Othman, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 66 (2016): Issue 1 (June 2016)