Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910928990109696 |
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| author | Réguer, Nathan |
| author_facet | Réguer, Nathan |
| contents | The purpose of this article is to prove sharp $L^p$ bounds for quasimodes of Berezin-Toeplitz operators. We consider examples with explicit computations and a general situation on compact spaces and $\mathbb{C}^n$. In both cases the eigenvalue is a regular value of the operator symbol. We then use the link between pseudodifferential and Berezin-Toeplitz operators to obtain an $L^p$ bound of the FBI transform of quasimodes of pseudodifferential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies Réguer, Nathan Complex Variables Symplectic Geometry Spectral Theory The purpose of this article is to prove sharp $L^p$ bounds for quasimodes of Berezin-Toeplitz operators. We consider examples with explicit computations and a general situation on compact spaces and $\mathbb{C}^n$. In both cases the eigenvalue is a regular value of the operator symbol. We then use the link between pseudodifferential and Berezin-Toeplitz operators to obtain an $L^p$ bound of the FBI transform of quasimodes of pseudodifferential operators. |
| title | Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies |
| topic | Complex Variables Symplectic Geometry Spectral Theory |
| url | https://arxiv.org/abs/2504.06648 |