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arXiv · 2306.06398

On conditions determining formal automorphisms of integro-differential operators

Alberto Lastra·Sławomir Michalik·Maria Suwińska
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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.

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Alberto Lastra, Sławomir Michalik, Maria Suwińska. 2023-06-10. On conditions determining formal automorphisms of integro-differential operators. https://arxiv.org/abs/2306.06398

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