Hostname: page-component-7c8c6479df-8mjnm Total loading time: 0 Render date: 2024-03-29T05:21:12.759Z Has data issue: false hasContentIssue false

Twisted trace Paley–Wiener theorems for special and general linear groups

Published online by Cambridge University Press:  04 December 2007

Paul Mezo
Affiliation:
Fields Institute, 222 College Street, Toronto, Ontario, M5T 3J1, Canadapmezo@math.toronto.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Foundation Compositio Mathematica 2004