无界算子和不确定性原理

arXiv - MATH - Complex Variables Pub Date : 2024-07-22 DOI:arxiv-2407.15803

Friedrich Haslinger

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引用次数: 0

摘要

我们用广义西格尔-巴格曼空间上的湮灭与创造算子来研究不确定性原理的变体，这些算子被用于联邦调查局-巴格曼变换。此外，我们还计算了这些算子的贝雷津变换，并指出了如何使用单变量全函数空间来研究$\mathbb C^2.$中超曲面的Szeg\H{o}核。

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Unbounded operators and the uncertainty principle

We study a variant of the uncertainty principle in terms of the annihilation and creation operator on generalized Segal Bargmann spaces, which are used for the FBI-Bargmann transform. In addition, we compute the Berezin transform of these operators and indicate how to use spaces of entire functions in one variable to study the Szeg\H{o} kernel for hypersurfaces in $\mathbb C^2.$

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arXiv - MATH - Complex Variables

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