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• W2111246253 abstract "we develop an operator theory on a nuclear algebra of white noise operators in terms of the quantum white noise (QWN) derivatives and their dual adjoints. Using an adequate definition of a QWN-symbol transformation, we discuss QWN-integral-sum kernel operators which give the Fock expansion of the QWN-operators (i.e. the linear operators acting on nuclear algebra of white noise operators). As application, we characterize all rotation invariant QWN-operators by means of the QWN-conservation operator, the QWN-Gross Laplacians. These topics are expected to open a new area in QWN infinite-dimensional analysis." @default.
• W2111246253 created "2016-06-24" @default.
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• W2111246253 date "2015-02-21" @default.
• W2111246253 modified "2023-09-28" @default.
• W2111246253 title "Operator theory: quantum white noise approach" @default.
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• W2111246253 doi "https://doi.org/10.1007/s40509-015-0033-y" @default.
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