On conditions determining formal automorphisms of integro-differential operators
Complex Variables
2025-02-11 v2 Analysis of PDEs
Abstract
Results providing conditions on a family of integro-differential operators to determine a formal automorphism are established. Equivalently, the problem can be read in terms of existence and uniqueness of formal solutions of Cauchy problems in different settings. The main achievements provide a three-statement result not only in the framework of general formal power series, but also on subspaces appearing in applications such as Gevrey settings and moment differential operators.
Keywords
Cite
@article{arxiv.2306.06398,
title = {On conditions determining formal automorphisms of integro-differential operators},
author = {Alberto Lastra and Sławomir Michalik and Maria Suwińska},
journal= {arXiv preprint arXiv:2306.06398},
year = {2025}
}