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arXiv · 2212.11905

The Kotake-Narasimhan Theorem in general ultradifferentiable classes

Stefan Fürdös
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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.

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Stefan Fürdös. 2022-12-22. The Kotake-Narasimhan Theorem in general ultradifferentiable classes. https://doi.org/10.1007/s13398-024-01586-z

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