ABSTRACT

In this paper, the idea of wave packet transform has been generalized. We have obtained reconstruction formula, characterization range, orthogonality, some important estimates and convolution of linear canonical wave packet transform. We have also discussed uncertainty principles and some properties on periodic functions for this transform.

中文翻译：

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线性正则波包变换

摘要

本文概括了波包变换的思想。我们得到了线性正则波包变换的重构公式、表征范围、正交性、一些重要的估计和卷积。我们还讨论了不确定性原理和此变换周期函数的一些属性。