Differential operators on {B}ergman space on bounded symmetric domains
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917642018750464 |
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| author | Christensen, Jens Gerlach Deng, Christopher Benjamin |
| author_facet | Christensen, Jens Gerlach Deng, Christopher Benjamin |
| contents | We classify self-adjoint first-order differential operators on weighted Bergman spaces on the $N$-dimensional unit ball $\mathbb{B}^N$ and $\mathbb{D}^2$ of $2\times2$ complex matrices satisfying $I-ZZ^*>0$.Our main tools are the discrete series representations of $\mathrm{SU}(N,1)$ and $\mathrm{SU}(2,2)$. We believe that our observations extend to general bounded symmetric domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10882 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential operators on {B}ergman space on bounded symmetric domains Christensen, Jens Gerlach Deng, Christopher Benjamin Complex Variables Representation Theory 32A36 We classify self-adjoint first-order differential operators on weighted Bergman spaces on the $N$-dimensional unit ball $\mathbb{B}^N$ and $\mathbb{D}^2$ of $2\times2$ complex matrices satisfying $I-ZZ^*>0$.Our main tools are the discrete series representations of $\mathrm{SU}(N,1)$ and $\mathrm{SU}(2,2)$. We believe that our observations extend to general bounded symmetric domains. |
| title | Differential operators on {B}ergman space on bounded symmetric domains |
| topic | Complex Variables Representation Theory 32A36 |
| url | https://arxiv.org/abs/2404.10882 |