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 (*p*, *q*)-entire functions with certain growth rates determined by Young functions and a suitable (*p*, *q*)-exponential map. Next, we investigate the main aim of this paper which is to give unitary equivalent representations of the (*p*, *q*)-square oscillator white noise algebra in the basis of noncommutative white noise theory.