Leray变换：特出测度、对称性与多伽马不等式
复变函数
2025-05-28 v3
摘要
对于中一类无界超曲面上的Leray变换，我们获得了新的对称性、范数计算和谱信息。重点放在某些特出测度上，并通过证明新的多伽马不等式建立了算子范数单调性的结果。Bernstein-Widder和Euler-Maclaurin的经典技术在我们的分析中起着关键作用。支撑这项工作的是一个射影几何对偶理论，它在这里表现为Hölder不变性。
引用
@article{arxiv.2401.17490,
title = {The Leray transform: distinguished measures, symmetries and polygamma inequalities},
author = {Luke D. Edholm and Yonatan Shelah},
journal= {arXiv preprint arXiv:2401.17490},
year = {2025}
}
备注
30 pages, 2 figures with 10 total graphs, 4 tables. A carefully notated Mathematica notebook to help walk the reader through difficult calculations in Section 5 and the Appendix can be found on the first author's Github page: https://github.com/ledholm/Leray-measures-2024-Mathematica-nb/releases/tag/v1.0