Unbounded operators and the uncertainty principle
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929430739288064 |
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| author | Haslinger, Friedrich |
| author_facet | Haslinger, Friedrich |
| contents | We study a variant of the uncertainty principle in terms of the annihilation and creation operator on generalized Segal Bargmann spaces, which are used for the FBI-Bargmann transform. In addition, we compute the Berezin transform of these operators and indicate how to use spaces of entire functions in one variable to study the Szegő kernel for hypersurfaces in $\mathbb C^2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unbounded operators and the uncertainty principle Haslinger, Friedrich Complex Variables Primary 30H20, 32A36, Secondary 81S05 We study a variant of the uncertainty principle in terms of the annihilation and creation operator on generalized Segal Bargmann spaces, which are used for the FBI-Bargmann transform. In addition, we compute the Berezin transform of these operators and indicate how to use spaces of entire functions in one variable to study the Szegő kernel for hypersurfaces in $\mathbb C^2.$ |
| title | Unbounded operators and the uncertainty principle |
| topic | Complex Variables Primary 30H20, 32A36, Secondary 81S05 |
| url | https://arxiv.org/abs/2407.15803 |