Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball
| Autor: | Dawson, Matthew, Dewage, Vishwa, Mitkovski, Mishko, Olafsson, Gestur |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study quantum harmonic analysis (QHA) on the Bergman space $\mathcal{A}^2(\mathbb{B}^n)$ over the unit ball in $\mathbb{C}^n$. We formulate a Wiener's Tauberian theorem, and characterizations of the radial Toeplitz algebra over $\mathcal{A}^2(\mathbb{B}^n)$. We discuss the $\alpha$-Berezin transform and investigate the question of approximations by Toeplitz operators. Comment: 44 pages |
| Databáze: | arXiv |
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