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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.14947 |
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| _version_ | 1866913849819529216 |
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| author | Zhao, Tianhong |
| author_facet | Zhao, Tianhong |
| contents | We take the trace of Von-Neumann's ergodic theorem and get a trace formula of a unitary matrix family. It is an extension of Poisson summation formula in higher dimension. We also construct a family of crystalline measure with complex coefficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A finite dimensional trace formula Zhao, Tianhong Mathematical Physics Spectral Theory Quantum Physics We take the trace of Von-Neumann's ergodic theorem and get a trace formula of a unitary matrix family. It is an extension of Poisson summation formula in higher dimension. We also construct a family of crystalline measure with complex coefficient. |
| title | A finite dimensional trace formula |
| topic | Mathematical Physics Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2505.14947 |