Unbounded operators and the uncertainty principle

Friedrich Haslinger

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arXiv · 2407.15803

Unbounded operators and the uncertainty principle

Friedrich Haslinger

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Abstract

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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Friedrich Haslinger. 2024-07-22. Unbounded operators and the uncertainty principle. https://arxiv.org/abs/2407.15803

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