The Plancherel decomposition for a reductive symmetric space II. Representation theory
Representation Theory
2007-05-23 v4
Abstract
We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz functions, obtained in part I (math.RT/0107063). The formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus. In the present paper we identify these integrals as matrix coefficients of the generalized principal series.
Cite
@article{arxiv.math/0111304,
title = {The Plancherel decomposition for a reductive symmetric space II. Representation theory},
author = {E. P. van den Ban and H. Schlichtkrull},
journal= {arXiv preprint arXiv:math/0111304},
year = {2007}
}
Comments
60 pages, LaTeX 2e, revised introduction. Accepted by Invent. Math