The Weyl Transform of a smooth measure on a real-analytic submanifold
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918085544378368 |
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| author | Mishra, Mansi Vemuri, M. K. |
| author_facet | Mishra, Mansi Vemuri, M. K. |
| contents | If $μ$ is a smooth measure supported on a real-analytic submanifold of $\mathbb{R}^{2n}$ which is not contained in any affine hyperplane, then the Weyl transform of $μ$ is a compact operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Weyl Transform of a smooth measure on a real-analytic submanifold Mishra, Mansi Vemuri, M. K. Classical Analysis and ODEs Functional Analysis 22D10, 22E30, 43A05, 43A80, 53D55 If $μ$ is a smooth measure supported on a real-analytic submanifold of $\mathbb{R}^{2n}$ which is not contained in any affine hyperplane, then the Weyl transform of $μ$ is a compact operator. |
| title | The Weyl Transform of a smooth measure on a real-analytic submanifold |
| topic | Classical Analysis and ODEs Functional Analysis 22D10, 22E30, 43A05, 43A80, 53D55 |
| url | https://arxiv.org/abs/2406.03128 |