The Weyl transform of a compactly supported distribution
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913647361523712 |
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| author | Mishra, Mansi Vemuri, M. K. |
| author_facet | Mishra, Mansi Vemuri, M. K. |
| contents | If $T$ is a compactly supported distribution on $\mathbb{R}^{2n}$, then the Weyl transform of $T$ is $p$-power traceable if and only if the Fourier transform of $T$ is $p$-power integrable, and the Weyl transform of $T$ is a compact operator if and only if the Fourier transform of $T$ vanishes at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Weyl transform of a compactly supported distribution Mishra, Mansi Vemuri, M. K. Classical Analysis and ODEs Functional Analysis 42B10, 43A05, 47B10 If $T$ is a compactly supported distribution on $\mathbb{R}^{2n}$, then the Weyl transform of $T$ is $p$-power traceable if and only if the Fourier transform of $T$ is $p$-power integrable, and the Weyl transform of $T$ is a compact operator if and only if the Fourier transform of $T$ vanishes at infinity. |
| title | The Weyl transform of a compactly supported distribution |
| topic | Classical Analysis and ODEs Functional Analysis 42B10, 43A05, 47B10 |
| url | https://arxiv.org/abs/2409.16835 |