The Kotake-Narasimhan Theorem in general ultradifferentiable classes
Analysis of PDEs
2025-01-23 v2
Abstract
We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions. In particular, we obtain a sharp Kotake-Narasimhan theorem for Beurling classes.
Cite
@article{arxiv.2212.11905,
title = {The Kotake-Narasimhan Theorem in general ultradifferentiable classes},
author = {Stefan Fürdös},
journal= {arXiv preprint arXiv:2212.11905},
year = {2025}
}
Comments
Revised version