对称算子的复分析，I

arXiv - MATH - Spectral Theory Pub Date : 2024-08-20 DOI:arxiv-2408.10968

Yicao Wang

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引用次数: 0

摘要

这是冯-诺依曼著名的对称算子自连接扩展理论的升级版。正如书名所暗示的，我们将复分析（和复几何）以一种重要的方式纳入了这一理论。赫曼对称空间和现代值分布理论在这一理论中所扮演的角色得到了澄清。在此过程中，我们引入了许多新概念，并获得了许多新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Complex analysis of symmetric operators, I

This is an upgraded version of von Neumann's famous theory on self-adjoint extensions of symmetric operators. As implied in the title, we have incorporated complex analysis (and complex geometry) into this theory in an essential way. The roles played by Hermtian symmetric spaces and modern value distribution theory in the theory are clarified. In doing so, many new concepts are introduced and many new results are obtained.

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arXiv - MATH - Spectral Theory

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