Article contents
Twisted trace Paley–Wiener theorems for special and general linear groups
Published online by Cambridge University Press: 04 December 2007
Abstract
Let G be a real special or general linear group and $\sigma_{0}$ be the transpose-inverse involution. We characterize the image of $f \mapsto {\rm tr}(\pi(f) \pi(\sigma_{0}) )$ for irreducible representations $\pi$ of $G \rtimes \langle \sigma_{0}\rangle$, and K-finite $f \in C_{c}^{\infty}(G)$.
- Type
- Research Article
- Information
- Copyright
- Foundation Compositio Mathematica 2004
- 4
- Cited by