Time–frequency analysis theory has relatively recent developments in pure and applied mathematics. Motivated by Wong's approach, we will study, in this paper, the localization operators associated with the generalized Wigner transform. Results on the $L^p$-boundedness and $L^p$-compactness of these localization operators are given. The proofs are based on some estimates on the generalized hypergeometric translation operators, the generalized Wigner transform and interpolation theory.

中文翻译：

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与广义 Wigner 变换相关的时频分析

时频分析理论在纯数学和应用数学方面有相对较新的发展。受 Wong 方法的启发，我们将在本文中研究与广义 Wigner 变换相关的定位算子。结果在${升}^{磷}$-有界性和 ${升}^{磷}$- 给出了这些定位算子的紧凑性。证明基于对广义超几何平移算子、广义 Wigner 变换和插值理论的一些估计。