A Plancherel formula for L^2(G/H) for almost symmetric subgroups
Representation Theory
2016-06-22 v1
Abstract
In this paper we study the Plancherel formula for a new class of homogeneous spaces for real reductive Lie groups; these spaces are fibered over non-Riemannian symmetric spaces, and they exhibit a phenomenon of uniform infinite multiplicities. They also provide examples of non-tempered representations of the group appearing in the Plancherel formula. Several classes of examples are given.
Keywords
Cite
@article{arxiv.1410.2872,
title = {A Plancherel formula for L^2(G/H) for almost symmetric subgroups},
author = {Bent Orsted and Birgit Speh},
journal= {arXiv preprint arXiv:1410.2872},
year = {2016}
}
Comments
15 pages