Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915291562246144 |
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| author | Tian, Yongqiang |
| author_facet | Tian, Yongqiang |
| contents | We obtain spectral asymptotics for the quantized derivatives of elements from the first-order homogeneous Sobolev space on the quantum Euclidean space, extending an earlier result of McDonald, Sukochev and Xiong (Commun. Math. Phys. 2020). Our approach is based on a noncommutative Wiener-Ikehara Tauberian theorem and a recently developed $C^\ast$-algebraic version of pseudo-differential operator theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces Tian, Yongqiang Functional Analysis We obtain spectral asymptotics for the quantized derivatives of elements from the first-order homogeneous Sobolev space on the quantum Euclidean space, extending an earlier result of McDonald, Sukochev and Xiong (Commun. Math. Phys. 2020). Our approach is based on a noncommutative Wiener-Ikehara Tauberian theorem and a recently developed $C^\ast$-algebraic version of pseudo-differential operator theory. |
| title | Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.11789 |