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Wick Symbol Transform with Its Application to the (p, q)-Square Oscillator White Noise Algebra
Iranian Journal of Science and Technology, Transactions A: Science  (IF),  Pub Date : 2021-06-27, DOI: 10.1007/s40995-021-01164-7
Anis Riahi, Amine Ettaieb, Wathek Chammam

By using a Wick symbol transform, a characterization theorem is proven for the white noise operators in terms of a new spaces of (pq)-entire functions with certain growth rates determined by Young functions and a suitable (pq)-exponential map. Next, we investigate the main aim of this paper which is to give unitary equivalent representations of the (pq)-square oscillator white noise algebra in the basis of noncommutative white noise theory.