Identifying Bergman space functions from intervals
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908836670996480 |
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| author | Hartmann, Andreas Orsoni, Marcu-Antone |
| author_facet | Hartmann, Andreas Orsoni, Marcu-Antone |
| contents | We characterize functions of a Bergman space on a square by their values and derivatives on the diagonals. This problem is connected with the reachable space of the one-dimensional heat equation on a finite interval with boundary $L^2$-controls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14801 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Identifying Bergman space functions from intervals Hartmann, Andreas Orsoni, Marcu-Antone Complex Variables Analysis of PDEs Functional Analysis Optimization and Control 30H20, 30B40, 35K05, 93B03 We characterize functions of a Bergman space on a square by their values and derivatives on the diagonals. This problem is connected with the reachable space of the one-dimensional heat equation on a finite interval with boundary $L^2$-controls. |
| title | Identifying Bergman space functions from intervals |
| topic | Complex Variables Analysis of PDEs Functional Analysis Optimization and Control 30H20, 30B40, 35K05, 93B03 |
| url | https://arxiv.org/abs/2602.14801 |