Asymptotic Expansion for Expanding Spherical Averages in Real Rank One
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914291646464000 |
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| author | Deng, Zhiyuan Sun, Yutian |
| author_facet | Deng, Zhiyuan Sun, Yutian |
| contents | This paper develops precise asymptotic formulas for expanding non-spherical averages on compact quotients of real rank-one Lie groups, focusing on $SO(n,1)$ as a model case. Using tools from harmonic analysis and representation theory, the study reduces the analysis of orbit averages to an ordinary (ODE) derived from the action of the Casimir operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21954 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic Expansion for Expanding Spherical Averages in Real Rank One Deng, Zhiyuan Sun, Yutian Representation Theory 22E46, 22E40, 22F30, 37A17 This paper develops precise asymptotic formulas for expanding non-spherical averages on compact quotients of real rank-one Lie groups, focusing on $SO(n,1)$ as a model case. Using tools from harmonic analysis and representation theory, the study reduces the analysis of orbit averages to an ordinary (ODE) derived from the action of the Casimir operator. |
| title | Asymptotic Expansion for Expanding Spherical Averages in Real Rank One |
| topic | Representation Theory 22E46, 22E40, 22F30, 37A17 |
| url | https://arxiv.org/abs/2601.21954 |