Ultradifferentiable CR Manifolds

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...

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Detalles Bibliográficos
Autor principal: Fürdös, Stefan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319315/
https://www.ncbi.nlm.nih.gov/pubmed/32624648
http://dx.doi.org/10.1007/s12220-019-00191-6
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author Fürdös, Stefan
author_facet Fürdös, Stefan
author_sort Fürdös, Stefan
collection PubMed
description 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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spelling pubmed-73193152020-07-01 Ultradifferentiable CR Manifolds Fürdös, Stefan J Geom Anal Article 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. Springer US 2019-04-18 2020 /pmc/articles/PMC7319315/ /pubmed/32624648 http://dx.doi.org/10.1007/s12220-019-00191-6 Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Fürdös, Stefan
Ultradifferentiable CR Manifolds
title Ultradifferentiable CR Manifolds
title_full Ultradifferentiable CR Manifolds
title_fullStr Ultradifferentiable CR Manifolds
title_full_unstemmed Ultradifferentiable CR Manifolds
title_short Ultradifferentiable CR Manifolds
title_sort ultradifferentiable cr manifolds
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319315/
https://www.ncbi.nlm.nih.gov/pubmed/32624648
http://dx.doi.org/10.1007/s12220-019-00191-6
work_keys_str_mv AT furdosstefan ultradifferentiablecrmanifolds

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