On the distribution kernels of Toeplitz operators on CR manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909971617153024 |
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| author | Hsiao, Chin-Yu Shabtai, Ood |
| author_facet | Hsiao, Chin-Yu Shabtai, Ood |
| contents | We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The main result consists of a formula for the values at the diagonal of the second coefficient in the expansion of the symbol of the kernel. We also establish asymptotic expansions for Toeplitz operators on the positive part of a compact not necessary strictly pseudoconvex CR orbifold under certain natural assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the distribution kernels of Toeplitz operators on CR manifolds Hsiao, Chin-Yu Shabtai, Ood Complex Variables Analysis of PDEs Differential Geometry We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The main result consists of a formula for the values at the diagonal of the second coefficient in the expansion of the symbol of the kernel. We also establish asymptotic expansions for Toeplitz operators on the positive part of a compact not necessary strictly pseudoconvex CR orbifold under certain natural assumptions. |
| title | On the distribution kernels of Toeplitz operators on CR manifolds |
| topic | Complex Variables Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.16506 |