Wick calculus for noncommutative white noise corresponding to $q$-deformed commutation relations
2016
Online
report
We derive the Wick calculus for test and generalized functionals of noncommutative white noise corresponding to $q$-deformed commutation relations with $q\in(-1,1)$. We construct a Gel'fand triple centered at the $q$-deformed Fock space in which both the test, nuclear space and its dual space are algebras with respect to the addition and the Wick multiplication. Furthermore, we prove a V\r{a}ge-type inequality for the Wick product on the dual space.
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Wick calculus for noncommutative white noise corresponding to $q$-deformed commutation relations
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Autor/in / Beteiligte Person: | Ji, Un Cig ; Lytvynov, Eugene |
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Veröffentlichung: | 2016 |
Medientyp: | report |
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