A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909410539864064 |
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| author | Camper, Trevor |
| author_facet | Camper, Trevor |
| contents | We obtain Szegő-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in $\mathbb{C}$. From this, we derive a formula for the density of the eigenvalues of compressions of Toeplitz operators. Examples for the Bergman and Segal-Bargmann-Fock space are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators Camper, Trevor Functional Analysis We obtain Szegő-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in $\mathbb{C}$. From this, we derive a formula for the density of the eigenvalues of compressions of Toeplitz operators. Examples for the Bergman and Segal-Bargmann-Fock space are also presented. |
| title | A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2412.00612 |