Some H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {H}$$\end{document}-Banach Modules and Fiber Bundles

被引：0

作者：

José Oscar González-Cervantes ^{[1
]}

机构：

[1] ESFM-Instituto Politécnico Nacional,Departamento de Matemáticas

来源：

Advances in Applied Clifford Algebras | 2025年 / 35卷 / 3期

关键词：

Quaternionic slice regular functions; Fiber bundles; Harmonic functions; Bloch spaces; Besov spaces; Dirichlet spaces; Primary: 30G35; 32K05; Secondary: 46M20;

D O I：

10.1007/s00006-025-01384-9

中图分类号：

学科分类号：

摘要：

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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