一些\(\mathbb {H}\) -Banach模块和光纤束

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2025-05-08 DOI:10.1007/s00006-025-01384-9

José Oscar González-Cervantes

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引用次数: 0

摘要

本文给出了一个由切片正则函数理论定义的坐标球束，其束投影和一些实巴拿赫空间诱导出以Bloch、Besov和Dirichlet的切片正则函数的四元数巴拿赫模为基空间的坐标球束。最后，本文证明了这些四元数Banach模的Möbius不变性质定义了球束上的回拉束或自同构。

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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Some \(\mathbb {H}\)-Banach Modules and Fiber Bundles

This work presents a coordinate sphere bundle defined from theory of slice regular functions whose bundle projection and some real Banach spaces induce coordinate sphere bundles in which the quaternionic Banach modules of the slice regular functions of Bloch, Besov and Dirichlet are the base spaces. Finally, this work shows that Möbius invariant property of these quaternionic Banach modules defines pullback bundles or automorphisms on sphere bundles.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.