发表机构
Universität Bonn; Kanazawa University（波恩大学; 金泽大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究约化代数群扭曲迹公式谱侧的绝对收敛性，核心方法是将Finis - Lapid - Müller的定理扩展到扭曲情形并给出详细证明，主要贡献是为相关研究及应用提供了理论基础。
AI 中文摘要
我们建立了约化代数群扭曲迹公式谱侧的绝对收敛性。具体而言，我们将Finis - Lapid - Müller的谱侧绝对收敛定理扩展到扭曲情形。本文给出了该绝对收敛定理的详细证明，其证明虽为专家所知但未见于文献。所得公式受限于重数问题及\(\mathrm{GL}_n\)自对偶自守表示的Weyl定律应用的启发。
英文摘要
We establish the absolute convergence of the spectral side of the twisted trace formula for reductive algebraic groups. More precisely, we extend the absolute convergence theorem of the spectral side due to Finis--Lapid--Müller to the twisted setting. This paper provides a detailed proof of the absolute convergence theorem, whose proof is known to experts but does not seem to have appeared in the literature. The resulting formulas are motivated by applications to limit multiplicity problems and to Weyl laws for self-dual automorphic representations of $\mathrm{GL}_n$.
Comments19 pages. Minor corrections to notation and exposition; revised proof of Theorem 11.1
