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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.13863 |
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| _version_ | 1866910799539208192 |
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| author | Anakkar, Mohammed |
| author_facet | Anakkar, Mohammed |
| contents | We recall the complex structure on the generalised loop spaces $W^{k,2}(S,X)$, where $S$ is a compact real manifold with boundary and $X$ is a complex manifold, and prove a Hartogs-type extension theorem for holomorphic maps from certain domains in generalised loop spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_13863 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces Anakkar, Mohammed Complex Variables We recall the complex structure on the generalised loop spaces $W^{k,2}(S,X)$, where $S$ is a compact real manifold with boundary and $X$ is a complex manifold, and prove a Hartogs-type extension theorem for holomorphic maps from certain domains in generalised loop spaces. |
| title | Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2203.13863 |