Spectral analysis on pseudo-Riemannian locally symmetric spaces

Pub Date : 2020-01-10 DOI:10.3792/pjaa.96.013
Fanny Kassel, Toshiyuki Kobayashi
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引用次数: 4

Abstract

We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $\Gamma \backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $\Gamma$) or $\Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).
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伪黎曼局部对称空间的谱分析
我们总结了在伪黎曼局部对称空间$\Gamma \反斜G/H$上启动谱分析的最新结果,超越了$H$是紧的(例如算术$\Gamma$的自同构形式理论)或$\Gamma$是平凡的(例如半简单对称空间的plancherel型公式)的经典设置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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