广义部分片单原函数：两种函数理论的合成

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-09 DOI:10.1007/s00006-024-01314-1

Zhenghua Xu, Irene Sabadini

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引用次数: 0

摘要

在本文中，我们回顾了作者在徐和萨巴迪尼（Generalized partial-slice monogenic functions, arXiv:2309.03698, 2023）一文中提出的广义部分片单生函数的概念。这类函数既包括单原函数理论，也包括克利福德代数上的切片单原函数理论，它是通过一个综合算子得到的，该算子结合了广义考奇-黎曼算子和作用于切片的算子。除了回顾基本特征之外，我们还提供了一个基于 CK 扩展的 \(*\)-product 概念，并讨论了广义部分切片函数的平滑性。

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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Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories

In this paper, we review the notion of generalized partial-slice monogenic functions that was introduced by the authors in Xu and Sabadini (Generalized partial-slice monogenic functions, arXiv:2309.03698, 2023). The class of these functions includes both the theory of monogenic functions and of slice monogenic functions over Clifford algebras and it is obtained via a synthesis operator which combines a generalized Cauchy–Riemann operator with an operator acting on slices. Besides recalling the fundamental features, we provide a notion of \(*\)-product based on the CK-extension and discuss the smoothness of generalized partial-slice functions.

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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.

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