半实线上Sobolev空间中（弱）非齐次小波对偶框架和混合倾斜原理的刻画

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-21 DOI:10.1080/01630563.2023.2209161

Yan Zhang, Yun‐Zhang Li

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引用次数: 0

摘要

摘要小波框架理论由于是Walsh加法下的一个群，近年来得到了很好的发展。本文讨论了在上定义的Sobolev空间上的小波对偶框架。我们引入了具有特征（弱）非齐次小波对偶框架的Sobolov空间，并建立了构造它们的混合斜延拓原理。

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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A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line

Abstract Due to being a group under Walsh addition ⊕, the wavelet frame theory on has been well developed in recent years. This paper addresses wavelet dual frames on Sobolev spaces defined on We introduce the Sobolev space with characterize (weak) nonhomogeneous wavelet dual frames for and establish mixed oblique extension principles for constructing them.

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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.