The square-integrability of double descent
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918126475542528 |
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| author | Ito, Nozomi |
| author_facet | Ito, Nozomi |
| contents | Double descent is a method to construct automorphic representations of classical groups. For given A-parameter $ψ$ with certain good properties, double descent constructs a space of functions orthogonal to any cuspidal representation whose A-parameter is not $ψ$ and not orthogonal to any cuspidal representation with A-parameter $ψ$. In this paper, we show that functions constructed by double descent are always square-integrable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The square-integrability of double descent Ito, Nozomi Number Theory Double descent is a method to construct automorphic representations of classical groups. For given A-parameter $ψ$ with certain good properties, double descent constructs a space of functions orthogonal to any cuspidal representation whose A-parameter is not $ψ$ and not orthogonal to any cuspidal representation with A-parameter $ψ$. In this paper, we show that functions constructed by double descent are always square-integrable. |
| title | The square-integrability of double descent |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.12489 |