Mumford曲线及其有限商上的热方程和小波

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-01 DOI:10.1007/s00041-023-10046-y

Patrick Erik Bradley

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引用次数: 2

摘要

作用于。的非阿基米德局部场上的一类热算子 $$L_2$$ 在局部域的洞盘上开发l2函数空间，并将其视为先前由Zúñiga-Galindo引入的算子，如果底层树是正则树，则将其与某些有限Kronecker积图联系起来。 $$L_2$$ 研究了有限群作用于有孔圆盘作用下的l2 -空间和积分算子的不变性，并将其应用于Mumford曲线。研究发现，蒙福德曲线族的谱隙可以变得任意小。

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Heat Equations and Wavelets on Mumford Curves and Their Finite Quotients

Abstract A class of heat operators over non-archimedean local fields acting on $$L_2$$ L 2 -function spaces on holed discs in the local field are developed and seen as being operators previously introduced by Zúñiga-Galindo, and if the underlying trees are regular, they are associated here with certain finite Kronecker product graphs. $$L_2$$ L 2 -spaces and integral operators invariant under the action of a finite group acting on a holed disc are studied, and then applied to Mumford curves. It is found that the spectral gap in families of Mumford curves can become arbitrarily small.

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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.