夏皮罗的不确定性原理和尺度图与黎曼-刘维尔小波变换

Pub Date : 2023-01-01 DOI:10.2298/fil2301043m

H. Mejjaoli, F. Shah

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引用次数: 0

摘要

近几十年来，黎曼-刘维尔算子在谐波分析的许多领域得到了广泛的研究，并取得了显著的发展。本文的目的是探讨与Riemann-Liouville小波变换相关的时频分析的另外两个方面，包括夏皮罗不确定性原理和尺度图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Shapiro’s uncertainty principles and scalogram associated with the Riemann-Liouville wavelet transform

The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.

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