General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-23 DOI:10.1007/s00006-023-01303-w

Hakim Monaim, Said Fahlaoui

引用次数: 0

Abstract

In this paper, we present the general right-sided quaternionic orthogonal 2D-planes split wave-packet transform that combines windowed and wavelet transforms. We derive fundamental properties: Plancherel–Parseval theorems, reconstruction formulas, and orthogonality relations, and we provide characterization range, convolutions, and some estimates. Additionally, we derive component-wise, directional and logarithmic uncertainty principles for the given transform and give a discrete formula on the square-integrable function space.

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一般右侧正交二维平面分割四元数波包变换

在本文中，我们提出了一般的右侧四元数正交二维平面分裂波包变换，它结合了窗口变换和小波变换。我们导出了基本性质：Plancherel–Parseval定理、重建公式和正交关系，并提供了表征范围、卷积和一些估计。此外，我们还导出了给定变换的分量、方向和对数不确定性原理，并在平方可积函数空间上给出了一个离散公式。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.