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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.06398 |
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| _version_ | 1866915143535820800 |
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| author | Lastra, Alberto Michalik, Sławomir Suwińska, Maria |
| author_facet | Lastra, Alberto Michalik, Sławomir Suwińska, Maria |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06398 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On conditions determining formal automorphisms of integro-differential operators Lastra, Alberto Michalik, Sławomir Suwińska, Maria Complex Variables Analysis of PDEs 35C10, 35G10 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. |
| title | On conditions determining formal automorphisms of integro-differential operators |
| topic | Complex Variables Analysis of PDEs 35C10, 35G10 |
| url | https://arxiv.org/abs/2306.06398 |