Toolbox of Para-differential Calculus on Compact Lie Groups
Analysis of PDEs
2023-10-11 v1
Abstract
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.
Cite
@article{arxiv.2310.06806,
title = {Toolbox of Para-differential Calculus on Compact Lie Groups},
author = {Chengyang Shao},
journal= {arXiv preprint arXiv:2310.06806},
year = {2023}
}
Comments
First split from arXiv:2304.10519