Bernstein-Markov measures and Toeplitz theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910980347265024 |
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| author | Finski, Siarhei |
| author_facet | Finski, Siarhei |
| contents | We prove that Toeplitz operators associated with a Bernstein-Markov measure on a compact complex manifold endowed with a big line bundle form an algebra under composition. As an application, we derive a Szegő-type spectral equidistribution result for this class of operators. A key component of our approach is the off-diagonal asymptotic analysis of the Bergman kernel, also known as the Christoffel-Darboux kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bernstein-Markov measures and Toeplitz theory Finski, Siarhei Complex Variables Algebraic Geometry Functional Analysis Spectral Theory 32A25, 32U15, 42C05, 47B35, 15B05 We prove that Toeplitz operators associated with a Bernstein-Markov measure on a compact complex manifold endowed with a big line bundle form an algebra under composition. As an application, we derive a Szegő-type spectral equidistribution result for this class of operators. A key component of our approach is the off-diagonal asymptotic analysis of the Bergman kernel, also known as the Christoffel-Darboux kernel. |
| title | Bernstein-Markov measures and Toeplitz theory |
| topic | Complex Variables Algebraic Geometry Functional Analysis Spectral Theory 32A25, 32U15, 42C05, 47B35, 15B05 |
| url | https://arxiv.org/abs/2506.01610 |