论文标题
温斯坦环境中两波小波理论的时频分析
Time-frequency Analysis of two-wavelet theory in Weinstein setting
论文作者
论文摘要
在本文中，我们介绍了Weinstein Twavellet的概念，并在Weinstein理论的环境中定义了两小波的定位算子。然后，我们为所有$ 1 \ leq p \ leq p \ leq p \ leq \ leq \ infty $ and yround offunct $ culty和unction $ c $ cumputions $ 1 \ leq p \ leq p \ leq \ leq \ infty $和function $ $ c $ $ c $ up $ cous $和$ c。最后，我们研究了Weinstein两波浪定位算子的一些典型例子。
In this paper, we introduce the notion of Weinstein two-wavelet and we define the two-wavelet localization operators in the setting of the Weinstein theory. Then we give a host of sufficient conditions for the boundedness and compactness of the two-wavelet localization operator on $L^{p}_α(\mathbb{R}^{d+1}_+)$ for all $1\leq p\leq \infty$, in terms of properties of the symbol $σ$ and the functions $φ$ and $ψ$. In the end, we study some typical examples of the Weinstein two-wavelet localization operators.
