Spectral analysis on pseudo-Riemannian locally symmetric spaces
[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).
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] Locally symmetric space;pseudo-Riemannian manifold;discontinuous group;invariant differential operator;branching law;spherical variety. [时效性]