TL;DR
This paper introduces ultradifferentiable CR manifolds using Denjoy-Carleman classes and proves regularity results for CR mappings and automorphisms within this framework.
Contribution
It defines ultradifferentiable CR manifolds and establishes regularity results for CR mappings and automorphisms in this new setting.
Findings
Regularity of finitely nondegenerate CR mappings is proven.
Ultradifferentiable automorphisms exhibit regularity on these manifolds.
The notion of ultradifferentiability is formalized using Denjoy-Carleman classes.
Abstract
In this article the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here ultradifferentiable means with respect to Denjoy-Carleman classes defined by weight sequences. Furthermore the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated.
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