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18 April 2024
 
  » arxiv » math.RT/0111304

 Article overview


The Plancherel decomposition for a reductive symmetric space II. Representation theory
E. P. van den Ban ; H. Schlichtkrull ;
Date 29 Nov 2001
Subject Representation Theory MSC-class: 22E30, 22E46 | math.RT
AbstractWe 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.
Source arXiv, math.RT/0111304
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