渐近共形与多边形逼近

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-03 DOI:10.3390/axioms13060376

S. Krushkal

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引用次数: 0

摘要

具有渐近共形边界扩展的不等价函数是具有类共形扩展的函数的一个子类，具有相当特殊的特征。这类函数出现在几何函数理论和泰希米勒空间理论的各种问题中，并在共形和类共形映射中有着重要的应用。本文提供了局部保角的近似表征及其与单值多项式的联系。此外，还给出了这种联系的其他一些定量应用。

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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Asymptotic Conformality and Polygonal Approximation

Univalent functions with asymptotically conformal extension to the boundary form a subclass of functions with quasiconformal extension with rather special features. Such functions arise in various questions of geometric function theory and Teichmüller space theory and have important applications involving conformal and quasiconformal maps. The paper provides an approximative characterization of local conformality and its connection with univalent polynomials. Also, some other quantitative applications of this connection are given.

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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.