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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.17699 |
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| _version_ | 1866911502160625664 |
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| author | Mao, Zhengyu Wan, Chen Zhang, Lei |
| author_facet | Mao, Zhengyu Wan, Chen Zhang, Lei |
| contents | In this paper, we give a complete list of strongly tempered hyperspherical Hamiltonian spaces. We show that the period integrals attached to the list contains many previously studied Rankin-Selberg integrals and period integrals, thus give a new conceptual understanding of these integrals. The list also proposes many new interesting period integrals to study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly tempered hyperspherical Hamiltonian spaces Mao, Zhengyu Wan, Chen Zhang, Lei Number Theory Representation Theory 11F67, 11F72 In this paper, we give a complete list of strongly tempered hyperspherical Hamiltonian spaces. We show that the period integrals attached to the list contains many previously studied Rankin-Selberg integrals and period integrals, thus give a new conceptual understanding of these integrals. The list also proposes many new interesting period integrals to study. |
| title | Strongly tempered hyperspherical Hamiltonian spaces |
| topic | Number Theory Representation Theory 11F67, 11F72 |
| url | https://arxiv.org/abs/2405.17699 |