Spectral analysis on pseudo-Riemannian locally symmetric spaces

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).

6 pages

References in corpus (1)

• Invariant differential operators on spherical homogeneous spaces with overgroups

Cited by in corpus (2)

• Recent advances in branching problems of representations
• Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds