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arXiv · 2410.00080

The Laplacian of an operator and the radial Toeplitz algebra

Vishwa Dewage·Mishko Mitkovski
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Abstract

Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfand theory of the radial Toeplitz algebra.

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Vishwa Dewage, Mishko Mitkovski. 2024-09-30. The Laplacian of an operator and the radial Toeplitz algebra. https://arxiv.org/abs/2410.00080

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