CR functions at CR singularities: approximation, extension, and hulls
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915613740367872 |
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| author | Lebl, Jiri Noell, Alan Ravisankar, Sivaguru |
| author_facet | Lebl, Jiri Noell, Alan Ravisankar, Sivaguru |
| contents | We study three possible definitions of the notion of CR functions at CR singular points, their extension to a fixed-neighborhood of the singular point, and analogues of the Baouendi--Trèves approximation in a fixed neighborhood. In particular, we give a construction of certain disc hulls, which, if large enough, give the fixed-neighborhood extension and approximation properties. We provide many examples showing the distinctions between the classes and the various properties studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06431 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | CR functions at CR singularities: approximation, extension, and hulls Lebl, Jiri Noell, Alan Ravisankar, Sivaguru Complex Variables 32V25, 32E30 We study three possible definitions of the notion of CR functions at CR singular points, their extension to a fixed-neighborhood of the singular point, and analogues of the Baouendi--Trèves approximation in a fixed neighborhood. In particular, we give a construction of certain disc hulls, which, if large enough, give the fixed-neighborhood extension and approximation properties. We provide many examples showing the distinctions between the classes and the various properties studied. |
| title | CR functions at CR singularities: approximation, extension, and hulls |
| topic | Complex Variables 32V25, 32E30 |
| url | https://arxiv.org/abs/2406.06431 |