Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908273908645888 |
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| author | Dawson, Matthew Dewage, Vishwa Mitkovski, Mishko Olafsson, Gestur |
| author_facet | Dawson, Matthew Dewage, Vishwa Mitkovski, Mishko Olafsson, Gestur |
| contents | 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 $α$-Berezin transform and investigate the question of approximations by Toeplitz operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23110 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball Dawson, Matthew Dewage, Vishwa Mitkovski, Mishko Olafsson, Gestur Functional Analysis Operator Algebras Representation Theory 22D25, 32A36, 47B35, 47L80 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 $α$-Berezin transform and investigate the question of approximations by Toeplitz operators. |
| title | Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball |
| topic | Functional Analysis Operator Algebras Representation Theory 22D25, 32A36, 47B35, 47L80 |
| url | https://arxiv.org/abs/2410.23110 |