The Leray transform: distinguished measures, symmetries and polygamma inequalities
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913860153245696 |
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| author | Edholm, Luke D. Shelah, Yonatan |
| author_facet | Edholm, Luke D. Shelah, Yonatan |
| contents | New symmetries, norm computations and spectral information are obtained for the Leray transform on a class of unbounded hypersurfaces in $\mathbb{C}^2$. Emphasis is placed on certain distinguished measures, with results on operator norm monotonicity established by proving new polygamma inequalities. Classical techniques of Bernstein-Widder and Euler-Maclaurin play crucial roles in our analysis. Underpinning this work is a projective geometric theory of duality, which manifests here in the form of Hölder invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17490 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Leray transform: distinguished measures, symmetries and polygamma inequalities Edholm, Luke D. Shelah, Yonatan Complex Variables 32A26, 26D15, 33B15, 47A30, 65B15 New symmetries, norm computations and spectral information are obtained for the Leray transform on a class of unbounded hypersurfaces in $\mathbb{C}^2$. Emphasis is placed on certain distinguished measures, with results on operator norm monotonicity established by proving new polygamma inequalities. Classical techniques of Bernstein-Widder and Euler-Maclaurin play crucial roles in our analysis. Underpinning this work is a projective geometric theory of duality, which manifests here in the form of Hölder invariance. |
| title | The Leray transform: distinguished measures, symmetries and polygamma inequalities |
| topic | Complex Variables 32A26, 26D15, 33B15, 47A30, 65B15 |
| url | https://arxiv.org/abs/2401.17490 |