Global hypoellipticity of $G$-invariant operators on homogeneous vector bundles
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916177308024832 |
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| author | Cardona, Duván Kowacs, André Pedroso |
| author_facet | Cardona, Duván Kowacs, André Pedroso |
| contents | We establish necessary and sufficient conditions for the global hypoellipticity of $G$-invariant operators on homogeneous vector bundles. These criteria are established in terms of the corresponding matrix-valued symbols as developed by Ruzhansky and Turunen and extended in [7] to homogeneous vector-bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17288 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global hypoellipticity of $G$-invariant operators on homogeneous vector bundles Cardona, Duván Kowacs, André Pedroso Analysis of PDEs 22E30, 43A77 (Primary) 58J40 (Secondary) We establish necessary and sufficient conditions for the global hypoellipticity of $G$-invariant operators on homogeneous vector bundles. These criteria are established in terms of the corresponding matrix-valued symbols as developed by Ruzhansky and Turunen and extended in [7] to homogeneous vector-bundles. |
| title | Global hypoellipticity of $G$-invariant operators on homogeneous vector bundles |
| topic | Analysis of PDEs 22E30, 43A77 (Primary) 58J40 (Secondary) |
| url | https://arxiv.org/abs/2310.17288 |