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arxiv: 1808.02685 · v1 · pith:HLEQA2M3new · submitted 2018-08-08 · 🧮 math.CV

Ultradifferentiable CR manifolds

classification 🧮 math.CV
keywords ultradifferentiablemanifoldsregularityabstractarticleautomorphismsclassesdefined
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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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