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arXiv · 2508.12489

The square-integrability of double descent

Nozomi Ito
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Abstract

Double descent is a method to construct automorphic representations of classical groups. For given A-parameter $\psi$ with certain good properties, double descent constructs a space of functions orthogonal to any cuspidal representation whose A-parameter is not $\psi$ and not orthogonal to any cuspidal representation with A-parameter $\psi$. In this paper, we show that functions constructed by double descent are always square-integrable.

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Nozomi Ito. 2025-08-17. The square-integrability of double descent. https://arxiv.org/abs/2508.12489

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