arXiv:2410.00080 [math.FA]AbstractReferencesReviewsResources
The Laplacian of an operator and the radial Toeplitz algebra
Vishwa Dewage, Mishko Mitkovski
Published 2024-09-30Version 1
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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