Abstract
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.