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q-deformation of the square white noise Lie algebra
Journal article   Open access  Peer reviewed

q-deformation of the square white noise Lie algebra

Sami H. Altoum
Transactions of A. Razmadze Mathematical Institute, Vol.172(2), pp.133-139
08/2018
DOI: https://doi.org/10.1016/j.trmi.2018.01.005

Abstract

[formula omitted]-derivative [formula omitted]-square white noise Lie algebra Free square white noise Lie algebra
For q∈(0,1), the q-deformation of the square white noise Lie algebra is introduced using the q-calculus. A representation of this Lie algebra is given, using the q-derivative (or Jackson derivative) and the multiplication operator. The free square white noise Lie algebra is defined. Moreover, its representation on the Hardy space is given.
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https://doi.org/10.1016/j.trmi.2018.01.005View
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