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arXiv 2607.22164math.SPmath.NT

具有扭曲表示的谱理论的某些方面

Some aspects of the spectral theory with twisting representations

Anke Pohl

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中文总结 AI 辅助

该研究围绕双曲空间谱理论展开,尤其涉及扭曲表示。通过SPP 2026“无穷远处的几何”框架获得相关结果,并对其及密切相关结果进行综述。

中文摘要 AI 辅助

近年来,在理解双曲空间的谱理论方面取得了重大进展,特别是在扭曲表示的背景下,包括酉和非酉的情况。我们综述了在SPP 2026“无穷远处的几何”框架内获得的一些结果以及一些密切相关的结果。

英文摘要

In recent years, significant advancements have been made in understanding the spectral theory of hyperbolic spaces, particularly in the context of twisting representations, both unitary as well as non-unitary. We survey some results that we obtained within the framework of the SPP 2026 "Geometry at Infinity" as well as some closely related results.

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