Article ID Journal Published Year Pages File Type
8900355 Transactions of A. Razmadze Mathematical Institute 2018 7 Pages PDF
Abstract
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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Physical Sciences and Engineering Mathematics Analysis
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