Ultradifferentiable Chevalley theorems and isotropic functions
Classical Analysis and ODEs
2019-12-20 v1 Differential Geometry
Functional Analysis
Abstract
We prove ultradifferentiable Chevelley restriction theorems for a wide range of ultradifferentiable classes. As a special case we find that isotropic functions, i.e., functions defined on the vector space of real symmetric matrices invariant under the action of the special orthogonal group by conjugation, possess some ultradifferentiable regularity if and only if their restriction to diagonal matrices has the same regularity.
Cite
@article{arxiv.1912.09114,
title = {Ultradifferentiable Chevalley theorems and isotropic functions},
author = {Armin Rainer},
journal= {arXiv preprint arXiv:1912.09114},
year = {2019}
}
Comments
12 pages