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.

中文翻译：

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灯芯符号变换及其在 (p, q) 方振荡器白噪声代数中的应用

通过使用 Wick 符号变换，根据 ( p ,  q )-整个函数的新空间证明了白噪声算子的特征定理，该空间具有由杨函数确定的特定增长率和合适的 ( p ,  q )-指数地图。接下来，我们研究本文的主要目的是在非交换白噪声理论的基础上给出( p ,  q ) 方振荡器白噪声代数的幺正等价表示。