Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.01859 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929226996776960 |
|---|---|
| author | Deitmar, Anton |
| author_facet | Deitmar, Anton |
| contents | We show that a compact representation of a semisimple Lie group has an orthogonal decomposition into finite length representations. This generalises and simplifies a number of more special spectral theorems in the literature. We apply it to the case of cusp forms, thus settling the spectral theory for the space of non-unitary twisted cusp forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01859 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A spectral theorem for compact representations and non-unitary cusp forms Deitmar, Anton Number Theory 11F72 We show that a compact representation of a semisimple Lie group has an orthogonal decomposition into finite length representations. This generalises and simplifies a number of more special spectral theorems in the literature. We apply it to the case of cusp forms, thus settling the spectral theory for the space of non-unitary twisted cusp forms. |
| title | A spectral theorem for compact representations and non-unitary cusp forms |
| topic | Number Theory 11F72 |
| url | https://arxiv.org/abs/2401.01859 |