A Simple Generalised Plancherel Formula for Compactly Induced Characters
Representation Theory
2017-09-11 v1
Abstract
The aim of this article is to present a simple generalized Plancherel formula for a locally compact unimodular topological group G of type I. This formula specializes to the Whittaker-Plancherel formula for a split reductive p-adic group of Sakellaridis-Venkatesh and differs from that of a quasi-split p-adic group due to Delorme. Furthermore, it also applies to certain metaplectic groups and other interesting situations where the local theory of distinguished representations has been studied.
Cite
@article{arxiv.1709.02661,
title = {A Simple Generalised Plancherel Formula for Compactly Induced Characters},
author = {Chaitanya Ambi},
journal= {arXiv preprint arXiv:1709.02661},
year = {2017}
}