Spectral analysis on pseudo-Riemannian locally symmetric spaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Fanny Kassel¹  Toshiyuki Kobayashi² 

[1] CNRS and Laboratoire Alexander Grothendieck;Graduate School of Mathematical Sciences, The University of Tokyo;Kavli Institute for the Physics and Mathematics of the Universe (WPI)

关键词: Locally symmetric space;    pseudo-Riemannian manifold;    discontinuous group;    invariant differential operator;    branching law;    spherical variety.;   

DOI  :  10.3792/pjaa.96.013

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We summarize and announce some 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).

【 授权许可】

Unknown