紧李群上的拟微分微积分工具箱

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-08-28 DOI:10.1016/j.jfa.2025.111176

Chengyang Shao

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引用次数: 0

摘要

本文给出了紧李群上的拟微分微积分工具箱。该工具箱基于紧李群的表示理论，包含符号微积分的精确公式。准微分算子以全局的、无坐标的方式构造，给符号微积分中的低阶项一个清晰的形式。该工具箱有助于理解定义在某些高对称性流形上的非局部非线性微分算子。

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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Toolbox of para-differential calculus on compact Lie groups

This paper provides a toolbox of para-differential calculus on compact Lie groups. The toolbox is based on representation theory of compact Lie groups and contains exact formulas of symbolic calculus. Para-differential operators are constructed in a global, coordinate-free manner, giving lower order terms in symbolic calculus a clear form. The toolbox helps to understand non-local, nonlinear differential operators defined on certain manifolds with high symmetry.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis