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arXiv · 2401.17490

The Leray transform: distinguished measures, symmetries and polygamma inequalities

Luke D. Edholm·Yonatan Shelah
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Abstract

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 H\"older invariance.

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Luke D. Edholm, Yonatan Shelah. 2024-01-30. The Leray transform: distinguished measures, symmetries and polygamma inequalities. https://doi.org/10.1016/j.jfa.2025.110980

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