On conditions determining formal automorphisms of integro-differential operators
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 thre...
| Autores: | , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2026 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositório: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglês |
| OAI Identifier: | oai:dnet:ebuahbibliot::5cf6147a4f3e719055dd75aee5eab277 |
| Acesso em linha: | http://hdl.handle.net/10017/69347 https://dx.doi.org/10.1007/s00010-026-01281-x |
| Access Level: | Acceso aberto |
| Palavra-chave: | Formal automorphism Integro-differential operator Newton polygon Gevrey series Moment differentiation. Matemáticas Mathematics |
| Resumo: | 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. |
|---|